{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FractionalFlow"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, NLopt, Dierckx\n",
    "import Calculus\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Note\n",
    "For the tertiary low salinity water flooding, the recovery factor is calculated by \n",
    "$$R_{tert}=\\frac{S_{w,avg}-(1-S_{or,hs})}{S_{or,hs}}$$\n",
    "However, the recovery factor is usually reported as the percentage of the initial oil that is in the reservoir before the secondary formation water water flooding, i.e.,\n",
    "$$R=\\frac{S_{w,avg}-S_{w,init}}{1-S_{w,init}}$$\n",
    "To convert one to the other, we can write\n",
    "$$R=\\frac{\\left(R_{tert}S_{or,hs}+(1-S_{or,hs})\\right)-S_{w,init}}{1-S_{w,init}}$$\n",
    "We can also do it the other way around, i.e.,\n",
    "$$R_{tert}=\\frac{R\\left(1-S_{w,init}\\right)+S_{w,init}-\\left(1-S_{or,hs}\\right)}{S_{or,hs}}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tertiary Water-flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f358f174210>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "sw0 = 0.15 # initial condition of the experiment\n",
    "sor_hs = 0.25 # high salinity (formation water) residual oil saturation\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# t_sec, pv, rec_fact, dp_core, x, sw, c, c_out_sal=\n",
    "#             FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# figure()\n",
    "# plot(t_sec, rec_fact, \"o\", wf_res.recovery_time[:,1], wf_res.recovery_time[:,2])\n",
    "# figure()\n",
    "# plot(t_sec, dp_core, \"o\", wf_res.dp_time[:,1], wf_res.dp_time[:,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# synthetic experimental data\n",
    "Here I scale the calculated recovery data to the total recovery data for a core initially saturated with oil at a saturation close to the connate water saturation, and secondary flooded with formation water."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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s6iYAAEB9QGCRLwIB6eabpVGjYh8Phex4ICBdeWV2r60OcIc9rV0rTZiQnqCCugkAAFCfEFjkkxEjbDjUokXRt8ALC6WDDrLjSFi6hj2RmQAAAPUZgUU+iZe1CAbD2QqX49jt99JSbo/XIB3DnshMAAAAEFjkHzdrsXChDX+Kla1wHJvGaNMmmz1qn31yd70+k4mZnshMAAAAEFjkn6pZi1jZikAgvCT00qUEFj9Jx5CnQEDq2FF65BFpwwYyEwAAAC4Ci3w0YoTUvLktgrf33rFrK7p3lz791AKLI4/M/jX6TDqHPN19tzRsWHquCwAAoK4oyPUFIAmBQHgq2TPPjM5WuLp3t8elS7N3XT4VDKZvyNPzzzPkCQAAIBYyFvmquNgeBw2KfbxHD3usp4FFZC3F+vXJD39q21a66y4b/sSQJwAAgPgILPLVjh322Lhx9P7ycltEz709/+mnNj2tq127Or9wXrpqKSRp+nQyFAAAAF4QWOSrnTvtMTKwqKy0GaPWrw/v27BB6tcv/LqkRFq1KpzxqGPStWo2Mz0BAAAkhsAiX8UKLIqKpL32soxFKFT9PQUFUlmZtauDkq2lYKYnAACA1BFY5Ktbb5W++07q0CG8L94Ceq5QqPrUtHXIvHmJD39ipicAAID0ILDIVxdeGHu/u4DeokV2C98VayG9OiCySHvx4sTfz5AnAACA9CCwqGviZS1iLaSX55It0r7rLql9e4Y8AQAApBOBRT764QfpX/+y+ooBA6oHC27WYuHCcK1F//51KluRTJG2u/zHJZcQTAAAAKQbC+Tlo02bpKFD469h4WYtIgu4zz23zmQrkinSdr/6tGkEFQAAAJlAYJGPImeEihcsuFkLV2S9RZ5LpkibVbMBAAAyi6FQ+SjWVLNVBQLS5MnSqafa9LPz5knjx2fn+jIgmSLta6+VevWilgIAACAbCCzykRtYNGlSc7vhw6XnnrNhU/Pm2dihPBwOlWyR9rBh9tUBAACQeQyFykdeMhaugw+2BfEqKqTlyzN7XRngFmknElQEArYO4JAhmbsuAAAARCOwyEeJBBbuzFGSZS3yCEXaAAAA+YPAIh8lElhI0sSJ0iOPxF+R26co0gYAAMgfOQ8s7r9f6tJFatRIGjhQWrCg5vbTpkk9elifuqxMmjBB2rUrtXPmnX33tcLseKtvVzVmjHTWWVbFnAeCQWnuXOmFF7y1v/Za6cknpbffllauJKgAAADIhZwWbz/zjN1Mnz7dAoBp06SRI6UlS6R27aq3f/JJ6Xe/kx56SDrkEGnpUunss234y9SpyZ0zL/XoIU2alOuryIhkCrUp0gYAAMi9nGYspk6VLrhAOuccmxZ0+nSb6Oihh2K3/9e/pEMPtRlUu3SxpRpOOSU6I5HoOeuNzz+3/zjvvpvrK4kr0UJtirQBAAD8I2eBxe7d0sKFNiPqfy+mwF7Pnx/7PYccYu9xA4kVK6RXX5WOPDL5c+altWvti65d6/09f/6zdMUV0lNPZe66UpBooTZF2gAAAP6Ss8Bi0ybrTLZvH72/fXtp3brY7zn1VOmmm6TDDpMaNpS6dbMhMNdck/w5JamyUtq6Nbxt25b018qOhx6S+veXfv977+9xb+v7dGaoRAu1KdIGAADwl5wXbydi7lyrWX7gAWnRIhs688or0s03p3beKVOkli3DW69eabnczEl0VigpHFh8+qm0eXP6rylFFRXe2o0fT5E2AACAH+UssGjTxoawrF8fvX/9eqmkJPZ7rrtOOuMM6fzzpd69peOOs0BjyhQpFErunJLVQX/3XXhbvDi175ZxyQQW7dpZ0bck/fOf6b+mFHmdsOr44y1LxfAnAAAAf8lZYFFUJPXrJ82ZE94XCtnrwYNjv2fHDquZiOR2MB0nuXNKUnGx1KJFeGvePLnvlDXJBBZSOGvxzjvpvZ4kudPKPvWU9MMPNX8dCrUBAAD8LafTzU6caMsr9O8vHXywFeJ+/73N6CRJZ54pdexoGQlJOvpom9iob1+bSnbZMstiHH10OMCo7Zx1QrKBxeGHS3/5iy/qLBKZVpZCbQAAAP/LaWBx0knSxo3S9ddbcXWfPtKsWeHi69WrozMU115rncxrr7UJkdq2taDi1lu9n7NOSDVj8dlnVrFeXJze6/LInVY23gxQrVtL33wTft2pkwUV1FQAAAD4V8BxvE7wWX+sWbNGZWVlKi8vV6dOnXJ9OdUdfbT0979b9uG887y9p7xc2rBB+ugjqWdPW5Y8Urt21oPPsGDQ1iCJl6kIBCxL9cgjdrmlpRYPkakAAAC54Pt+oY/kNGOBJJ18snTggTYmzIvKSmnAgOpV7ZFKSqRVqzKexahtWlnHseOFhbb4IQAAAPIDgUU+Ou20xNoXFUl77WVjxEKh6scLCqwyuqgoPddXA6/TynptBwAAAH/Iq3UskKRAwBb7iBVUSLb/5pvDVdIZ5HVaWa/tAAAAfGXtWun0061otHFjWyPh3/8OHz/7bOtzRW6jRkWfY/Nmu5HcooW0xx429H379ug2n3xi48UbNbIbxLffnvGvVhsCi3z05ZfSkiXSrl3e3zNihA2HqlqsUFho+0eMSO81xjFkiBXdx8O0sgAAIG99+6106KFSw4bSa6/Z4mh33intuWd0u1GjbHiGuz31VPTx006TPv9cmj3b6mrfeUe68MLw8a1bre/WubO0cKF0xx3SjTdKf/pTxr9iTRgKlY9GjZL+8x/p/fdtTl0v3KxF1Yg4GMx4tiIYtNqKigqpSRNbsyLeJUpMKwsAAPLUbbfZHdKHHw7v69q1ervi4virN3/xhU1p+sEHtn6CJN17r3TkkdIf/yh16CA98YS0e7f00EM2lH2//WyCnqlTowOQLCNjkY+SnW7WzVpEzuHbv39GsxUzZ9osUEccIZ16qnTssdKWLVKrVjb7U6ROnaTnn2daWQAAkKdeftn6VieeaDNu9u0r/fnP1dvNnWvHe/SQLr44ep79+fNt+JMbVEjS8OHWf3v//XCbww+Pro8dOdJGtHz7bUa+mhdkLPJFebkVX0vhMXYrVoRv/3uZLjZW1uLEEzOWrahpvYpvv5WmT7dhURUVTCsLAAB8bts2G4LkKi6uPpvmihXSgw/ais3XXGNZh0svtQDgrLOszahRdhe1a1dp+XJrN3q0BQuFhbYQW7t20edt0MDuyq5bZ6/XraueCXEXbVu3rvrQqywhsMgH8aaLPfbY8HOv08W6WYsPPrDXS5em9VJdwaCtrF3TKilXXCGtXEkwAQAA/K9Fr17RO264weoaIoVClmmYPNle9+1rCxNPnx4OLE4+Ody+d2/pgAOkbt0sizFsWKYuPysYCpUP3OliC+L8cSUyXWwgYD/2zp3t9QsvWOCSZl7Wqygvt3YAAAB+t3XxYum778LbpEnVG5WWSlUDkJ49pdWr4594772lNm2kZcvsdUmJrRIc6ccfbaYoty6jpKT6DWf3dbzajSwgsMgH6Z4udvhwS70deKAVPlSdviwNWK8CAADUKc2b2/Sv7hZrlMihh1qdQ6SlS8M3dGNZs8ZqLNy59gcPtoLUhQvDbd56y/p7AweG27zzTvSMOLNnW81GjoZBSQQW+SPd08UWFkoffijdf7/Ns5xmrFcBAADqnQkTpPfes9Ehy5ZJTz5pU8COG2fHt2+XrrzS2qxaJc2ZIx1zjLTPPlZ8LVmGY9Qo6YILpAULpH/+Uxo/3oZQdehgbU491UaqnHeeTUv7zDPS3XdbbUcOEVjkCzdrEQxG709lutgMTjE7ZEjNteSsVwEAAOqcAQOkF1+0dSn239/6aNOm2boUkt3Y/eQT6Ve/krp3t8CgXz8bGx6ZAXniCWnffa3m4sgjpcMOi16jomVL6Y03rFi1Xz8rXL3++pxONStJAcepqby2flqzZo3KyspUXl6uTrXNtJRNjmMpsEWLLKAoLJQOOsimHks2SAiFLBJu2FAaNCitl3vDDdJNN1Xf714qU8sCAAC/822/0IfIWOSTqlmLdCxud+edNg/y73+f8uUFgzahwVNP2TC/p5+2/c2aRbdjvQoAAIC6h+lm881hh9nUZJ9+mlxtRVXHHCNddZVFAhs32sISSZg506aXrToTVMuWVif+6aesVwEAAFCXEVjkm/nzrZdeXGyFQanWSTRubEVCX3xh2Ytf/zr6uIeF92paCO+776R//IPsBAAAQF1HYJFvdu60xwMOsGljU1F14b3bbrMtUi0L79W2EF4gIF1+uSVGyFIAAADUXdRY5Bs3sGjSJPVzuQvvxct6eFh4j4XwAAAAIBFY5B83sGjcOPVzucXg8dINHhbeYyE8AAAASAQW+SedgYUUXnivavDgceE9FsIDAACARGCRf9IdWMTLWnicytZdCC9eMxbCAwAAqB8ILPJNugMLKZy1cKurPWYr3KZ33x17NJUbbEybRuE2AABAXUdgkW8OOkgaN076xS/Sd85YC+9deqnnqWyPO85Wpa+KhfAAAADqD6abzTejRtmWbm7W4oMPLL3w/PPS6ad7eutbb0lLl9rkUU8+Ke3ezUJ4AAAA9Q2BBUwgYAvuXXSRtGKF9NJL0mefSfvvX+tbb77ZHi+6SDr++AxfJwAAAHyJoVD55ptvbEG7ysr0n3v4cGn58nB0MGVK3KbBoDR3rnTDDbaydsOG0lVXpf+SAAAAkB8ILPLNuHG2Gvb06Zn7jP/9X3t8+mlp2bJqh2fOlLp0kY44QrrpJttXVCQtWJC5SwIAAIC/EVjkm0zMClVV374WNYRC0m9/Ky1a9N/trT8u0q3HL5JTZbntHTukE06woAMAAAD1DzUW+SYbgUVlpfTRR/b8pZds+8kvJC2UVKESddEq7VaxJJtuNhCQLr9cOuYYirYBAADqGzIW+SYbgUVRkbTPPnEPB1WgcpVpt4qi9juOVF4uzZuXuUsDAACAPxFY5JtsBBbuuhZxFCqk63SzpNjrXFRUZOi6AAAA4FsEFvkmG4GFVH017p/8qEIt0AC9ofircpeWZvbSAAAA4D8EFvnGDSyaNMns51RdjfsnDRSMm60IBKSyMlsYDwAAAPULgUW++fWvpTPPtClnM83NWgTCQcTmbv1jZivcJtOmUbgNAABQHzErVL75wx+y91lu1mLUqP/uCg75ubS8eraiUycLKsaMyd7lAQAAwD8ILFAzN2vxwQeSpMZPPaw2ulqHHtNWl19uhdqlpTb8iUwFAABA/UVgkU8cR9q82Qq3GzeOGqKUMYGANHmydMklClVWqtnKlbpTV6j1BY9q6NDMfzwAAADyA4FFPvn+e6lNm/DzTBdwu4YPl774Qm9PWaAjrhmoM/WYgisHSYsGVW/brp2NiwIAAEC9QmCRT9wZoSSpUaOsf/y0tw/UIDVWU+1U4SXjYjcqKZFWrZKKi7N6bQAAAMgtZoXKJ25gUVwsFWT3j271aumV2UX6Uj3lxGtUUGDzzRYVxWsBAACAOorAIp/s2GGPmV4cL0IwKM2dK11xheQooKd7T46z3rakUMhmkcpG7QcAAAB8hcAin2Rr1e2fzJwpdekiHXGE9Pzztu+hNSO0uVv1FblVWGizR42IvyI3AAAA6i4Ci3ySxcBi5kzphBOkNWui93+7JaBTl1dfkVvBINkKAACAeozAIp9kKbAIBqXLLrPZbatyHOkNjdBHDQfIiazz6NCBbAUAAEA9xqxQ+aRtW+m006wTn0Hz5lXPVERyFNDVP9ys1xVekVtff21Lb//859XfwBS0AAAAdR6BRT454ADp8ccz/jEVFbW3eUMj9M3eA9R6xQc2/MlxpIkTYzdmCloAAIA6j6FQqKa01EurgNb8ZrK0777SPvvEb8YUtAAAAPUCgUU+2b1bqqyMXfyQRkOG2MileHXYgYDFCvtfbity695745+MKWgBAADqBQILvysvlxYtsm3SJFtxe/To8L6aiiGSVFgo3X137PjFjQ+mTYuYcXbECJtqtuqifUxBCwAAUG9QY+FnlZXWMV+/Pnr/66/bJmWsfmHMGOmXv5T+/vfo/Z06WVAxZkzEzkDAshKjRkU3Dgalm24iWwEAAFAPEFj4WVGRtNde0saNNqSoqgzXLyxZYo833ih17261F0OGVF8bT1I4a7FsMnK5AAAgAElEQVRokQUUhYVSmzbSX/9qs1nFCi6YLQoAAKDOCDhOhgfs56E1a9aorKxM5eXl6pTrju/rr1fPBESaNUsaOTLtH7t0qdSjh9SwobRpk9SihYc31XatVTFbFAAA8Dlf9Qt9jhoLv3MzAVXTBBmuX3CHQP385x6DCil8rZLUv7/UuXP8tswWBQAAUKcQWPidW78QDEbvDwYzOtuSG1j88pcJvCkQkCZPlnr2lKZMkf7v/+K3ZbYoAACAOoUai3zgZgL+/W+bqikQsIxAhrIV331nq29LCQYWkjR8uLR4sT13nOjrdhUU2PoXbdpYTUZV1F4AAADkHQKLfFB11iXHyejd/jfekH780fr+3bqlcKJ4s0WFQhZ89O8f+33UXgAAAOSdnA+Fuv9+qUsXW55h4EBpwYL4bYcOtb5q1e2oo8Jttm+Xxo+3G96NG0u9eknTp2f6W2RBZP1ChteGSGoYVDyxakSaNKm+5oWL2gsAAIC8lNPA4plnpIkTpRtusBExBx5oExxt2BC7/cyZUkVFePvsM+uvnnhiuM3EiTZR0uOP26LQl19ugcbLL2fnO2VMZP3C5MkZy1YEg9Krr9rztAQWsWpErrkm9vS5ErUXAAAAeSqn080OHGg3s++7z16HQnaz+pJLpN/9rvb3T5smXX+9BRlNm9q+/feXTjpJuu66cLt+/Wyx6ltu8XZdvp1WLBSKf6c/TebPlw45RNpjDwvwGjZMw0kdx/6wP/jA/sDfey+85kUkt/bi0UdZ9wIAAPiCb/uFPpSzjMXu3dLChVbr+9+LKbDX8+d7O8eMGdLJJ4eDCsk6xS+/LK1da/3Zt9+2NRkyOHIoew44wIYIzZ2bsY9wh0GNGpWmoEKqnm0pKLCsRFWRtRf9+lXfBgyw1cgBAADgOzkr3t60yUbHtG8fvb99e+nLL2t//4IFNhRqxozo/ffeK114od3YbtDA+rB//rN0+OHxz1VZGd1f3bbN+/fIqp07pR9+yEj9QTBoM0E99pi9PvLINH9A5GxRkqWQBgyw6DJyWFQgED2DlIvaCwAAAF/LefF2smbMkHr3lg4+OHr/vffaSJuXX7Y+6513SuPGSW++Gf9cU6ZILVuGt169MnvtSdu50x4bN07raWfOtAL6I46Qystt3+9+Z/szxq29qFprEW9kHrUXAAAAvpazwKJNGyu8Xr8+ev/69TbbaE2+/156+mnpvPOi9+/caXXBU6dKRx9tI4fGj7eaiz/+Mf75Jk2ytRvcLfLGuq9kILCYOVM64QRpzZro/RUVtj+jwUXVlbpvvTV2u4ICi/bcdS8it6oXDgAAgJzIWWBRVGTD5ufMCe8Lhez14ME1v/e552zo0umnR+//4QfbqtY3FxbGn4RIsuUSWrQIb82bJ/ZdsibNgUUwKF12Wewkgbvv8surL/qdNlVX6r7mGks5VVVT7QV1FwAAAL6Q06FQEyda/cNf/2pTw158sWUjzjnHjp95pmUTqpoxQzr2WKl16+j9LVpIP/+5dOWVVt+8cqX0yCM2ydBxx2X622RYKBTuQDdpkpZTzptX8w1/x7GhUe4q3Bnh1l64VfzjxlVf9yIe6i4AAAB8I6crb590krRxo00Zu26d1KePrUHhFnSvXl09+7BkifTuu7Y6dCxPP23ByGmnSZs3S5072wibsWMz+10ybteu8PM0ZSwqKtLbLi3irdYdSyhk0eeHH1Y/xtS0AAAAWZXTwEKyGojx42MfizWrao8e8et7JavPePjhtFyav4RCtsT4zp22THkalJamt13auLUXH3xgw522bJGWL4/d9pJLYu8vKZFWrbJxbgAAAMi4nAcW8KhZs/AiE2kyZIjd1HfX/KgqELDjQ4ak9WNr59ZeXHqp9Ic/WJGHlwxG5PtbtbL5iKvOIkUmAwAAICMILOqxwkLp7rtt9qeq3P74tGneyh3SLnLdC8cJr9QdDNrFBQLxK/IdJ1zsXRWZDAAAgIzI23UskB5jxlRfZFCym/rPP2/Hc86tu3Cnp3IcmxrMa5G3i2JvAACAjCFjkS8WLLApr/bdN3axcgratrXHvfaykUelpTb8KSeZingi6y4GDLBpvpo2TWyIFMXeAAAAGUPGIl/s2GEzQ2VgzYb33rPHYcOkU06Rhg71WVAhRa95MXmyvXaDDfdi3SFSNbnkkuprYbAeBgAASJe1a22xtdatbSbP3r2lf/87fNxxbErU0lI7Pny49NVX0efYvNmmOG3RQtpjD1sVevv26DaffGJ3ghs1shEZt9+e+e9WCwKLfLFjhz2mcdVtlxtYDByY9lOnV9U1L+INkTr33Njvjxd0RBZ7s7I3AABI1rffSoceKjVsKL32mvVb7rxT2nPPcJvbb5fuuUeaPl16/30bgTFyZPTSAqedJn3+uTR7tk3e88470oUXho9v3Wo3WDt3lhYulO64Q7rxRulPf8raV42FoVD5Is2rbruCQRtlJUmDBqX11NlRdYjUmDG2ffyxDXkKhSyj0a2btHRp7HNQ7A0AANLhttssexC59kHXruHnjmMz41x7rXTMMbbv0UdtEbe//U06+WRbNXrWLOvbuH2Te++VjjxS+uMfpQ4dpCeekHbvlh56yGpH99tP+ugjaerU6AAky8hY5IsMBRZffilt22bB8n77pfXU2RFriFQgYKsiurNGBYM2/VWswKG2c8fKZJDFAAAAsbz8svU3TjzR6jf79pX+/Ofw8ZUrbVVod/SFJLVsacNG5s+31/Pn2/CnyH7L8OE2Cc3774fbHH549IQ0I0faStLffpu571cLMhb5IkOBhTsMqn9/qUG+/hoip6Z1Vc1kjBwZXmTQq3iZjNatLS1ZdXYpCsABAKi7tm2zIUiu4uLqIxpWrJAefFCaOFG65hrrh1x6qfUZzjrLggrJMhSR2rcPH1u3zvoUkRo0sJudkW0iMyGR51y3LnroVRbla1ey/slQYOEGvnk5DKomkYvsuZmM0aOrr4fRuHG4fsWrb76RBg+uvp9hUwAA1FktevWK3nHDDVbXECkUshuSkyfb6759beTD9OkWWNRxBBb5oqTEUl5pHq+UN4XbyaiayXCLvd0pah1HmjlTqqiQzjkntc9itW8AAOq0rYsXq0XHjuEdsW4klpZKVQOQnj2lF16w5yUl9rh+vbV1rV8v9ekTbrNhQ/Q5fvzRZopy319SYu+J5L522+QAgUW++PWvbUujbdtswgGpjgYWsVQdIjVihO1/4IFwJqOgwFKOu3d7P29NBeAMnQIAIP81b27Tv9bk0EOtziHS0qU2e5Nkw5dKSqQ5c8KBxNatNoTk4ovt9eDB0pYtNttTv3627623LBvidtgGD5b+93+lH36wGagkm0GqR4+cDYOSKN6u1/79b/uN7rWXTTBQL8Qr9o6ctjYUsvml08UdOlV17Yw+fSxlRGE4AAB1w4QJ9v/2yZOlZcukJ5+0KWDHjbPjgYB0+eXSLbdYofenn9rivR06SMcea2169rTRFRdcYFN3/vOf0vjxNmOU22E79VS7YXneeXaX+JlnbKKaiRNz871/QsaiHqvTw6Bq4qXYe9Ik6aWXwlmMwkLpZz+zYODpp9NzHbFqNchuAACQvwYMkF580foRN91kGYpp02xdCtdVV0nff2/Twm7ZIh12mE0v26hRuM0TT1gwMWyYjaQ4/nhb+8LVsqX0xhsWsPTrJ7VpYzdFczjVrCQFHMdxcnoFPrRmzRqVlZWpvLxcnfzSmbvkEotGr7vOnqfBscda3/nOO3Me4PrDm29asfc991jw8frr4XoMyf7SjxhhkVhkwNG0afQsEZlAwAEAQE74sl/oU2Qs8sXmzdLGjVa8kwaOE85Y1LkZoZJVNZMRqx6jagF4MCg9+6xlHyLvRrgaNrShVe4wq2TFm4mKgAMAAPgEgUW+SPN0s6tX2+QBDRrYTGiIIdaUtVL8AvBp06IzGXvvbQvkuFPOZQIBBwAA8AkCi3yR5sDCzVb06ZP2pTHqllj1GPECjqqZjHvvtaBj9uzotTNatJC++676ZzVpIlVWpp7dkBILOAg2AABAGhBY5IsMBRb1rnA7XbwUgMcaOuU4Vvx9/fXRwUabNjbbw733evv8QMDOlSgvBePr1knffmvrclRdGVQiEAEAADERWOSLNAUWwaA0b570yiv2+uCDU7wuhHkdOjVypB2LDDYee8zaudPPRmY3GjaUNm2K/izHkbp3l5Yvz1z9RjwMswIAADEQWOSLHTvsMYXAYuZM6bLLopdKuPpqqVkzacyYFK8PxuvQKa/ZjWeesWP9+kkff2yF4IGAtM8+Nl/16NHZ/45ehlmR9QAAoN4hsMgX++1nHbZWrZJ6+8yZ0gknVB89s3697X/+eYKLjKoacCRSGB4ISFOmRAccbv3GgAHRGY499rC5rVetqn4NBQUWmGRKIpkPhl8BAFDnsI5FDHVtvuJgUOrSJf6izoGA9dlWrrTJjJBjVdfTkCyYGDgwHHC8/779wcVba+Pgg6UPPwzPUNWtm7R0qbfPLyiwRXp27cpsIJIIsiEAgBypa/3CTCKwiKGu/YDmzpWOOKL2dm+/LQ0dmumrQdJSCTheey26YLyw0Go0fvUr6bbbqn/WLbdI116bne+Vbl6zIQQoAAAP6lq/MJMYCuVn5eW2KF48Hjs+FRXePs5rO+RIIlPf1lYwHgxKd91l7d56KzrgOOggadIk6bnnpE8/Ddd1tGxpv7lYmQ+vs1RlejiWlHgxejxesiQEJwAA/BeBhV9VVlqHcP36+G1KSmwsfXFxjacqLfX2kV7bwWfSWTAeDNrrggLLZFSdJnfECMuQRAYi8YZZFRfb7zhSKGQ/tHyIYtMRoMQKTqToQITgBABQRzAUKgZfpLzcIS4LF8a+w1tQYDMFuUNfauDWWKxdG/umMjUW9Ugiw6lSGWZ10EE2de6AAdJHH9lv2N1/yinSxInp/27Jru3hd6kM7YoXzLgIWgCgVr7oF+YJAosYfPMDqtqBq2rWLBvi4kG8WaHcmIRZoeq5WAFHvP2xAo433qheRD5yZPzi8qpZj7597djQodIXX4T3d+hgQwKrKixMfP2OWIFHXQ1GvMpE0EIGBkAd45t+YaruuSfx95xzjtS8uefmBBYx+OYH5Hbg3A6Yy73z6yFbEWnmTOm886QtW8L7ysqkadMIKpCgqgFHqlmPeIFIvGzI/Pk289XHH4f39+wpHXKI9Kc/Vb/ePfaI/uHXJpGAo6jIriHVhQrrCy/BTKJBC8EMgAzyTb8wVQUF9m+h1+Ep5eU21HnvvT1/BIFFDL76AcXLWiSQrYg0bpz0wAPS0UfbaJQhQxj+hDRJNesRLxBJNRviDssaNCh6f48e0tSp9pdixQr77EDA7sxs3Vr9+8UrPD/uOOnFF1P7b0c2JbOyGcwwJA2oc3zVL0xFQYH9e9Sunbf2zZvbDTwCi9T46gfkOFLv3tLnn9vrJLMVrpEjrZ82Y4Z07rlpvlYgEV4DkUxlQ5LJkgwcaDUjwaD9A/2zn0mzZ0vHHx+9UGGbNpZBeeed1P4bde8uLV/uLRuSyPoj2ZidC96lOkVytgOlSARFqAd81S9Mxe9/L115pdSkibf2U6ZIF19sWX+PCCxi8N0P6J57pMsuC79OMlshSV272kRS8+ZJhx2WnssDMi5T2ZB0ZEkSrSWRwosXFhRI++4r3XefdNFFFkS40/v27Cndeac0enT1/x7t28eeMS6R9Ue6d5eWLfMWYBQU2CxfO3d6a9uokbXlfy91XyrTMuciIKJeCEnwXb/QxwgsYvDdD2jRIosCdu6M7hAlaOdOqWlT+3/9+vXeM2FA3kkkEIm1Px3BSbzsiZSZoV2xZuIqKLC7CaGQ3VFwnPCMcjfdFDto6djRppCrasIEW/vEi6uvjr3wYiyJZE9qaltQYN+P/6UhW3I9xC4Xn1lPM2G+6xf6mYNqysvLHUlOeXl5ri8lbPZsx+nZ0x6T9Omn9n/dli0dJxRK47UBdVG8v3OJ7A+FHGfAAPuLN2CAvY61L15bx3GcWbPc7rJts2Ylvj/WPvfzCgttX2GhvQ4GY+//4QfH6ds3vL+gwHH23ddxevSw55Ftv/3WcTp1cpxAwPYHAo7Ttq3jDBsWfR3u1r597P2Z3AoKwt8lnW0lx2nSJLH2bGxs0Vvr1o4zf77jLFzoOK+84jiPP+44r75qr6tuWeir+bJfmA7PPec4J57oOAMH2r/vkVuSlMbLqzPq6g/ohRfs7+uAAbm+EqAeiRVwpBqcJLo/20FLvLaJBDP9+ztOv37V9338sf03coOZggLH6dbNcR5+2IKcyPalpY5z/PGxOy7xgpxYW7duiXWKbrnFe9vu3RMLcDIVtLjndoPByK2wMPZ+NjY/bCUljrNrV1r/2a6qTvYL777bcZo1c5zx4x2nqMhxLrrIcYYPt7vP11yT9GmVxkusM+rkD8hxnClT7O/gaafl+koAJCQd2ZNsBy3pCGbSEfgkGsz07++t7YEHOs5XXznO/vtHBzm9elVvHwg4TlmZbZFZnLIyx3nttdidpZ49Y++PF7Q0apR6By2RgCiRLdGMT7o/u+q+RIIkgip/bwUF0f++ZEid7Bf26OE4Tz5pz5s1c5zly+35ddc5zrhxSZ9Wabi0Osd3P6CnnnKcffaxqDIF55xjfw9vuilN1wUg/2UqaIm3P5NBi1+CmUTOneiQtET2xwqUevd2nM8+c5z99qs+hC0YrJ4N6tLFce6/33H22ivcwS4stExLrI6e+9+/6jZqVOz9HTok1onMdUfW3crKMhMsBQKJZaXcTJOX/zaJtHXbew1YCwocp3Hj2MdiBWdusJmOoM39O5dBvusXpkPjxo6zapU9b9vWcT76yJ4vXeo4rVolfVp5aXTccYlv69cnfU0557sf0D332F+eE09M6TSHHmqnefrpNF0XACQjU0FLvP25CGayPSQt3v5Mnfu117IbEMVre9BBjrNhg+P06RNd/7P//jZsLnI4XUGB3aV97TXH+dnPogOorl2r1xB17mzDRapmmjp0cJxHH43dyR040HuHeJ99Yu+Plzlq2TKx9qm2lRznggu8tx03LvUgIdYWLxByfxdZKBr1Xb8wHbp2dZxFi+x5v36OM326PX/9dcfZc8+kTysvjQIBxznpJMc5+2xvW1FROKOSj3z3A7rtNvtLdOaZKZ2mTRs7jfs7AoB6I9vBTCLnzkUwk479+RgQ5apeyGuglK79Bx1kW6y2/fpFB1X77+84n3wSO4u1eXP0BA0FBRYQRQZmbtuNG62z6u4PBCw4u+8+y3hFtu/b13FuvtlxOnaMDtr23DN2EBEvE5aFbIXj+LBfmA7nnec4N95oz++7zzIYw4c7zh57OM655yZ9Ws+BRSIZiMihWvnIdz+gG2+0v0AXXZT0Kb75Jvz3cNu2NF4bACB12Q5m0rE/XwOidH1mXQqU/HLuRDNhWZri0nf9wnQIBm22P9dTTznOJZfYKJnKyqRP6ymwmDs3+rNrM29exgv0M8p3P6Crr7a/SJdfnvQp3nvPTtGhQxqvCwBQv+VjQJSuz6xrgZJfzp1ocJIFvusX+pinwKK+8d0P6NJL7S/RpElJn8IdDjp0aBqvCwCA+qwuBUp+OXeiwUkW+K5fmIrt2x1n7Fi709ymjdU6bNiQttOntPL2UUdJf/mLVFqa/AJ9fuS7FRYvvFD6859tpdzrrkvqFNddJ91yi3TRRdL06Wm+PgAAgHR5803p0kule+6Rhg+vfX+G+a5fmIqJE6U//Uk67TSpcWPpySelQw+VXnwxLadvkMqb33lH2rkzLdeBmrRuLXXrZkvcJ2npUnvs3j1N1wQAAJAJw4dLixd73w/vXnxRevhh6cQT7fUZZ0iDBkk//ig1SCkskCQVpHwGZN6UKdKyZZZuSNKSJfZIYAEAAFBPrVljGQpXv35Sw4bS11+n5fQpBRadO9u1wN9CIemrr+w5gQUAAEA9FQpV77w3aCAFg2k5fUo5j88+S8s1IMO+/lrasUMqLJS6ds311QAAACAnHEcaNix62NOOHdLRR0tFReF9ixYldXpPgcUnn0j77y8VeMxvfP651KNHWoZqQZJOOcXGMt19tzRkSMJvd+sr9t6bDBMAAEC9dcMN1fcdc0zaTu+p69+3r7RundS2rbeTDh4sffSRdWSRBl98IX38cdKV8m5g0aNHGq8JAAAA+SVWYJFGngILx7HpSps08XbS3btTuSRU4wYUjRsn9XZmhAIAAECmeQosDj88PKuQF4MHJ90HRiwpBhbMCAUAAFDPHXSQNGeOtOee3tofdpj0zDNSx46eP8JTYDF3rufzIRPIWAAAACAVH31kQ+tbtfLevrIyoY+gvDof7Nhhj0kEFrt3SytX2nMCCwAAgHps2DCrcfAiEEj49AQWfuc4KWUsVq60qYmbNpU6dEjztQEAACA/uHeaE9GpU0LNCSz87scfpb32suDCa/V8hMhhUEkEngAAAKgLOnfO+EcQWPhdw4bSqlVJv536CgAAAGSDxyXvvElmmYX775e6dJEaNZIGDpQWLIjfduhQu+tedTvqqOh2X3wh/epXUsuWNgRowABp9erEr60uYEYoAAAAZENaAovKSunOO6WuXRN73zPPSBMn2lodixZJBx4ojRwpbdgQu/3MmVJFRXj77DOpsFA68cRwm+XLbXasffe12aw++cTW4GjUKOmvl9fIWAAAACAbPAcWlZXSpElS//7SIYdIf/ub7X/4YQsopk2TJkxI7MOnTpUuuEA65xypVy9p+nQrI3joodjtW7WSSkrC2+zZ1j4ysPjf/5WOPFK6/XZbMbxbN8tetGuX2LX5xrJllnJJcLn1YNACq48/ttfduqX/0gAAAACX58Di+uulBx+0YUurVlln/sILpbvusgBh1Srp6qu9f/Du3dLChdLw4REXU2Cv58/3do4ZM6STT7bhTpIUCkmvvGJ350eOtGBi4MBwEJSXvv1W+ve/pQ8/9PyWmTPtz+mII6QtW2zfCSfYfgAAANRjzzwjnXaadeanT0/rqT0HFs89Jz36qPT889Ibb9gd8R9/tDviJ59sQ5ISsWmTnaN9++j97dtL69bV/v4FC2wo1Pnnh/dt2CBt3y794Q/SqFF2nccdJ40ZI/3jH/HPVVkpbd0a3rZtS+y7ZFSCU83OnGlBxJo10fsrKgguAAAA6rUHH5ROOcVuWn/1lTRunHTllWk7vefAYs0aqV8/e77//lJxsQ19ytUUpjNmSL17SwcfHN4XCtnjMcfYtfXpI/3ud9Ivf1lzQDZlihV6u1uvXpm99oQkEFgEg9Jll8Ve98Tdd/nl1g4AAAD1zH33WXHzkiW2svZf/yo98EDaTu85sAgGpaKi8OsGDaRmzZL/4DZtLMuxfn30/vXrrX6iJt9/Lz39tHTeedXP2aBB9cCgZ8+aZ4WaNEn67rvwtnix9++RcW5g4WENi3nzqmcqIjmOVF5u7QAAAFDPrFghnXVW+PWpp9oQpIqKtJze8zoWjiOdfbZlKiRp1y5p7NhwfYPL61CboiLLgMyZIx17rO0Lhez1+PE1v/e552z40umnVz/ngAHhKVZdS5fWvCZIcXH4e0k2HMo3EshYeP1NpOm3AwAAgHxSWRndeS8osA50MmtGxOA5sIgMbqTqnfpkTJxo5+3f34Y0TZtm2YhzzrHjZ54pdexoQ5UizZhhwUjr1tXPeeWV0kknSYcfbsXLs2ZJ/+//2QxJeSmBwKK01NspvbYDAABAHXPdddEjYXbvlm691eoBXFOnJnVqz4HFww8ndf4anXSStHGjzTi1bp3VRMyaFS7oXr3aAqlIS5ZI775rhdmxHHec1VNMmSJdeqnUo4f0wgu2tkVeKiiwCGqPPWptOmSI1KmTtHZt7DqLQMCODxmSgesEAACAvx1+ePWhPYccYkOkXCkUUAccJ1YXtH5bs2aNysrKVF5erk6dOmX/AsrLLeKKp107ixBicGeFkqKDC/c38vzzNksWAAAAapfzfmEe8ZyxQJZUVlqhSNWq9kglJbZwSGRhyE/GjLHg4bLLogu5O3WyoWYEFQAAAMgEAgu/KSqS9trLMhbu/LmRCgqksrLoKbqqGDPGMl1t29rr11+Xhg1LfK0RAAAA1BETJ3pvm+kaC2RJICDdfLOt8BdLKGTHaxn/5o6katlSGjEizdcIAACA/PLhh9GvFy2yqWZ79LDXS5faXWh34bokEFj40YgRNhxq0aLo1ewKC6WDDvIUKbgjqWpbEwQAAAD1wNtvh59PnSo1b24L5O25p+379lubmjWFWX48L5CHLHKzFlWXyA4GPWUrJJtlSyKwAAAAQBV33mlTqLpBhWTPb7nFjiWJwMKv3KyFG0QEAvba47gmN2PhTt0LAAAASLLVoGPNQLpxo7RtW9KnJbDwKzdr4c4Z6ziesxUSGQsAAADEcdxxNuxp5kybRnTNGlv47bzzUppClMDCz0aMsPFvkrT33glVYbuBBRkLAACALLnxRrsJHLntu2/4+NCh1Y+PHRt9jtWrpaOOstWx27WTrrzSiqwjzZ1rdbfFxdI++0iPPJLYdU6fLo0eLZ16qtS5s22nnmqTBz3wQOLf+ycUb/uZu1T2F19IZ5yR0EqIFG8DAADkwH77SW++GX7doEp3+4ILpJtuCr9u0iT8PBi0oKKkRPrXv6SKCunMM6WGDaXJk63NypXWZuxY6YknpDlzpPPPl0pLpZEjvV1jkyYWQNxxh7R8ue3r1k1q2jTx7xuBwMLv2rSxNSsGDUrobQyFAgAAyIEGDWrugDVpEv/4G29IixdbYNK+vdSnjw2Fv/pqy4YUFVm2oWvXcJF1z57Su+9Kd93lPbBwNW0qHXBAYu+pAUOh/O6dd2w17njrWsRB8TYAAEAabdtmRc/uVlkZu91XX0kdOtgw9tNOs6FNkZ54wm4c77+/NGmStGNH+Nj8+SH2t6YAACAASURBVFLv3tEduJEj7fM+/zzcZvjw6HOOHGn7c4zAog4KhRgKBQAAkE4tevWylYfdbcqU6o0GDrR6h1mzpAcftGFLQ4aEZ1o69VTp8cdtTYlJk6THHpNOPz38/nXrqt8Vdl+7w1Hitdm6Vdq5My3fNVkMhaqDvvkmvARGu3a5vRYAAIC6YOvixWrRsWN4R3Fx9UajR4efH3CABRqdO0vPPmszLl14Yfh4795WFzFsmNU5dOuWuYvPEjIWfnfMMdKvfhVOQXjgNm3d2mp9AAAAkKLmzaUWLcJbrMCiqj32kLp3l5Yti3184EB7dI+XlFTv81UdhhKvTYsWUuPG3r5LhhBY+N0rr0j/7/9VX4W7BhRuAwAA+MD27ZaNKC2Nffyjj+zRPT54sPTpp9KGDeE2s2db0NCrV7jNnDnR55k92/bnGIGFn/3wQzigSCACZQ0LAACAHPjtb6V//ENatcqmiz3uOKmwUDrlFAswbr5ZWrjQjr/8sk0le/jh4ZmZRoywAOKMM6SPP5Zef1269lpp3LhwhmTsWGnFCumqq6Qvv7RpY599VpowIVff+r+osfCzyAKcBAILCrcBAAByYM0aCyK++UZq21Y67DDpvffs+a5dNo3stGnS999LZWXS8cdb4OAqLJT+/nfp4ostA9G0qXTWWdHrXnTtaiNaJkyQ7r7b1jz7y18Sn2o2Awgs/MydfiwQ8DaO7ycMhQIAAMiBp5+Of6yszLIZtencWXr11ZrbDB0qffhhQpeWDQyF8jM3Y9GoUVKrbjMUCgAAANlCYOFnbmCRYIU/GQsAAABkG4GFn1VWSgUFSQcWZCwAAACQLdRY+FnfvtKPP9qWAIq3AQAAkG1kLPwuEEholbsff5Q2brTnBBYAAADIFgKLOmbTJslxbARVmza5vhoAAADUFwQWfvbOO9KYMdKtt3p+i1tf0batTYUMAAAAZAM1Fn62YoX04ovRC+XVghmhAAAAkAtkLPwsielmWcMCAAAAuUBg4WduYNGkiee3kLEAAABALhBY+FkSGQvWsAAAAEAuEFj4WQpDochYAAAAIJsILPwshYwFgQUAAACyicDCzyjeBgAAQJ5gulk/u/9+6c47bfVtj8hYAAAAIBcILPwsEEgoW7F7t7R5sz0nYwEAAIBsYihUHbJhgz02aCC1apXbawEAAED9QmDhZzffLJ15prRggafmkVPNFvAnCwAAgCyi++lns2ZJjz0mrVnjqTmF2wAAAMgVAgs/S3BWKAq3AQAAkCsEFn5GYAEAAIA8QWDhZwkGFgyFAgAAQK4QWPgZGQsAAADkCQILP0sysCBjAQAAgGxjgTy/KS+XNm605zt22OPy5dK2bfa8XTupU6eYb3WHQpGxAAAAQLYRWPhJZaU0YEA4QnCNHh1+XlIirVolFRdXeztDoQAAAJArDIXyk6Iiaa+94q9uV1AglZVZuyp27pS2brXnDIUCAABAthFY+EkgYKtth0Kxj4dCdjwQqHbITXIUF0stW2bwGgEAAIAYCCz8ZsQIGw5VWBi9v7DQ9o8YEfNtkcOgYsQdAAAAQEYRWPiNm7UIBqP3B4NxsxUSa1gAAAAgtwgs/GjECKlXr/DrWrIVEoXbAAAAyC0CCz8KBKTzzw+/riVbIZGxAAAAQG4RWPhV797h57VkKyQyFgAAAMgtAgu/2rXLHhs1kiZPrrUim8ACAAAAuURg4Vc7d9rjgAHS8OG1NmcoFAAAAHKJwMKv3MCicWNPzclYAAAAIJcILPzq17+Wvv5aevTRWpvu3i2Vl9vzV1+11wAAAEA2EVj4VaNGUmlprWObrrrKkho//GCvJ0+WmjSx/QAAAEC2+CKwuP9+qUsX60sPHCgtWBC/7dChVsdcdTvqqNjtx46149OmZeLKc+uqq6Q77pBCoej9waDtJ7gAAABAtuQ8sHjmGWniROmGG6RFi6QDD5RGjpQ2bIjdfuZMqaIivH32ma0fd+KJ1du++KL03ntShw6Z/Q4Z8dJL0qWX2mMMu3dLU6fWfIqpUxkWBQAAgOzIeWAxdap0wQXSOefYYtPTp9tQnoceit2+VSsrUHa32bOtfdXAYu1a6ZJLpCeekBo2zPz3SLt586R775XefTfm4QcesMxETYJBawcAAABkWk4Di927pYULo2dTLSiw1/PnezvHjBnSySdLTZuG94VC0hlnSFdeKe23X3qvOWtqmRXqq6+8ncZrOwAAACAVDXL54Zs22V31qvXJ7dtLX35Z+/sXLLChUDNmRO+/7TapQQMbSeRFZaVtrm3bvL0vo2oJLGpZLy/hdgAAAEAqcj4UKhUzZki9e0sHHxzet3ChdPfd0iOPeO9UT5kitWwZ3nr1ysjlJqaWwGLgQG+n8doOAAAASEVOA4s2bazw2l012rV+fe0LvX3/vfT009J550XvnzfPCr/32suyFg0aSP/5j3TFFTbzVCyTJknffRfeFi9O+iulTy2BRVmZt9N4bQcAAACkIqeBRVGR1K+fNGdOeF8oZK8HD675vc89Z8OXTj89ev8ZZ0iffCJ99FF469DB6i1efz32uYqLpRYtwlvz5ql9r7SoJbAYMkRq3brmU7Rube0AAACATMtpjYVkU82edZbUv78NaZo2zbIR55xjx888U+rY0YYrRZoxQzr22Oqd69atq+9r2NAyID16ZO57pF0tgYUUXReSzHEAAAAgXXIeWJx0krRxo3T99dK6dVKfPtKsWeGC7tWrbaaoSEuW2Cysb7yR/evNmueek7Zujbvy9ty50vbtNZ9i+3ZrN2xY2q8OAAAAiJLzwEKSxo+3LZa5c6vv69FDchzv51+1KpmryrH27eMGFVLs/y7x2hFYAAAAINPyelYoAAAAAP5AYOFXN9wgXXONjQ+LYehQb6fx2g4AAABIBYGFX91zj1Wsb9kS8/DQoVKzZjWfolkzAgsAAABkB4GFX3mYFQoAAADwCwILPwqFwnPFxgksEpkVCgAAAMg0Ags/2rUr/LyGwMILAgsAAABkA4GFH7nDoCSGQgEAACAvEFj4kRtYNGwoNYi91AizQgEAAMBPCCz8yEPh9ubNtZ+mdWsCCwAAAGQHgYUfde4sLV4szZsX83AwKE2cWPtppk+XCgvTfG0AAACI7cYbpUAgett33/DxXbukcePs7m+zZtLxx0vr10efY/Vq6aijpCZNpHbtpCuvlH78MbrN3LnSQQdJxcXSPvtIjzyS4S/mTexxNsitoiKpZ8+4h+fNk9asqf00bdqk8ZoAAABQu/32k958M/w6clj7hAnSK69Izz0ntWwpjR8vjRkj/fOfdjwYtKCipET617+kigrpzDNtePzkydZm5UprM3as9MQT0pw50vnnS6Wl0siR2fueMRBY5KGKivS2AwAAQJo0aGCBQVXffSfNmCE9+aT0i1/YvocftpvJ770nDRokvfGGjVp5802pfXupTx/p5pulq6+2bEhRkQ1J6dpVuvNOO0fPntK770p33ZXzwIKhUH705ZfSddfZjy2G0lJvp/HaDgAAALXYtk3aujW8uWuOVfXVV1KHDtLee0unnWZDmyRp4ULphx+k4cPDbffdV9prL2n+fHs9f77Uu7cFFa6RI+3zPv883CbyHG4b9xw5RGDhR4sXS7fcYlFtDEOG2LC8mjRvbu0AAACQuha9etnwJXebMqV6o4EDrd5h1izpwQdt2NKQIRaUrFtnGYc99oh+T/v2dkyyx8igwj3uHqupzdat0UsW5ABDofyollmhgkFpx46aT/H999aO4m0AAIDUbV28WC06dgzvKC6u3mj06PDzAw6wQKNzZ+nZZ+vF2mRkLPzIjRri/AAfeEAKhWo+RShk7QAAAJAGzZtLLVqEt1iBRVV77CF17y4tW2Z1F7t3S1u2RLdZvz5ck1FSUn2WKPd1bW1atMh58EJg4Ue1ZCyWL/d2Gq/tAAAAkAHbt1uHrLRU6tfPZneaMyd8fMkSq8EYPNheDx4sffqptGFDuM3s2RY09OoVbhN5DreNe44cYiiUX5SXSxs32vNly+xxxw5p0SJ73q6d1KmTJKlbN2+n9NoOAAAAafDb30pHH23Dn77+WrrhBhuXfsopVpdx3nm2GFmrVhYsXHKJBQSDBtn7R4ywAOKMM6Tbb7d6imuvtbUv3AzJ2LHSffdJV10lnXuu9NZbNtTqlVdy971/EnAcx8n1RfjNmjVrVFZWpvLycnX6qTOfUZWV9gOsmtaKVFIirVolFRdr925LZtQ0HKqgwBIfRUVpv1oAAIB6I6F+4cknS++8I33zjdS2rXTYYdKtt4bv9u7aJV1xhfTUU9b/GznSxq5HTk/7n/9IF19si+A1bSqddZb0hz9Er4cxd66tibF4sd14vu466eyz0/zNE0dgEUPWAwvHseKehQtjRwsFBZY+e/99KRBQMGizQu3aFf+UjRpZ9o3ibQAAgORlvV+Yx6ix8INAwBY/iZeCCIXseCAgyYLUmoIKyY7PnZvWqwQAAADiIrDwixEjpAEDqqcYCgtt/4gR/93lNWAgsAAAAEC2EFj4hZu1CAaj9weDUdkKAAAAwI8ILPzEzVoU/PTHUlBQLVshSUOHejud13YAAABAqggs/KRqrUWV2grX0KFWvF2TZs0ILAAAAJA9BBZ+M2KErewoSXvvXS1bAQAAAPgRgYXfBAJSx472/KyzYtZWzJ1rU8nWZPt2ircBAACQPQQWfuSuaueuwlgFs0IBAADAbwgs/GjnTnts3Di31wEAAAB4RGDhR7UEFswKBQAAAL8hsPAjD4EFs0IBAADATxrk+gIQw2uvWfV1ly5xmxQX11zAXVyc/ssCAAAA4iGw8KMBA2o8PG+e9M03NZ/im2+sHVkLAAAAZANDofJQRUV62wEAAACpImPhNzt3Sg88YPUVY8dKBdVjv9JSb6fy2g4AAABIFRkLv9myRfrtb6Xx42MujidJQ4bUXrzdvLm1AwAAALKBwMJvImeEihNYBIPSjh01n+b7760dAAAAkA0EFn7jYXG8Bx6QQqGaTxMKWTsAAAAgGwgs/MZDYLF8ubdTeW0HAAAApIrAwm88BBbdunk7ldd2AAAAQKoILPzGDSyaNInb5De/iTlZ1P9v786joy7vPY5/kgmThRACwSRsEWQViYpsBqRND7mgYhV3MSoudWE5glqkXEVtuQrH9novWsDlKnAqitKitYpoBIJgkcgSBIOIgASRBJECQZaEzHP/eDqTDEkmgxNmfpH365w5M/k93zx55vdwwnzzbH6io20cAAAAEA4kFk4TxIiFyyW53YGrcbttHAAAABAOnGPhNAMGSB9+KDVtWmdIfr507Fjgao4ds3GDBzdo6wAAAIBaMWLhNGedJf3Hf9gEow75+cFVFWwcAAAAECoSCwAAAAAhI7FwmnXrpBdflD75pM6Q7Ozgqgo2DgAAAAgViYXTLFok3XuvNHdunSHZ2VJcXOBq4uJILAAAABA+JBZOE8SuUJWVUnl54GrKy20cAAAAEA4kFk5z5Ih9DpBYzJwpeTyBq/F4bBwAAAAQDiQWThPEiMW2bcFVFWwcAAAAECoSC6cJIrHo1Cm4qoKNAwAAAEJFYuE0QSQWo0fXf6q2y2XjAAAAgHAgsXCaIBILt1u64orA1VxxhY0DAAAAwoHEwmkee0xauFDKyakzpLJSWrs2cDXr1rErFAAAAMKHxMJp+vaVrr5a6tChzpAVK6Rvvw1cza5dNg4AAAAIBxKLRmjPnoaNAwAAAEIVE+kG4CR/+5t0/Lg0ZIjUqlWtIa1bB1dVsHEAAABAqBwxYjFjhp35Excn9e8vFRTUHZudLUVF1XwMG2bLKyqkiROlzEypaVOpTRvpttuk774LxztpAA89JOXmBjyEYtAgKTExcDXNmtk4AAAAIBwinli88Yb04IPS44/bBccXXCANHSrt3Vt7/MKFdoqP97Fpk91a9frrbfmRI7aeyZPt88KF0pYt0pVXhu89hSSIXaEqK6sO6K7Ljz+yeBsAAADhE/HE4plnpLvvlu64Q+rRQ3r+eSkhQXrlldrjW7aU0tOrHnl5Nt6bWDRvbq/dcIPUrZt08cXSn/9sd1EqLg7f+/rJgkgsZs6UPJ7A1Xg8Ng4AAAAIh4iusSgvtx/4J02quhYdbXdaXbUquDpeflm66SY77akuBw/a6VLJybWXHz9uH15lZcH97Aaza5f0/ff2tXco4uuvqxqSmiq1a+cLDzBLyk+wcQAAAECoIppY7Ntnp+ukpflfT0uTvvyy/u8vKLBToV5+ue6YY8fsmosRI6SkpNpjpk6Vfv/74NvdoI4ft1vMlpb6X7/88qrX6enSN99IsbGSpE6dgqs62DgAAAAgVBGfChWKl1+2i7T79au9vKLCTokyRpo1q+56Jk2yoxreR1HR6WlvrdxuKSPDDtXUJjpaat/e7xjt0aPrDq/+baNHN2A7AQAAgAAimli0amUXXp/8x/rSUvtH+kB+/FGaP1+6667ay71Jxc6dds1FXaMVkh0ISEqqejRrdmrvIyRRUdKUKXUvmvB4bHlUlO+Sy+WXZ9TK7bZxAAAAQDhENLFwu6XevaUlS6queTz266yswN+7YIGdRXTLLTXLvEnF1q3SRx9JKSkN2+4GN2SInQ51cibgctnrQ4b4Xc7Pt1O8Ajl2zMYBAAAA4RDxqVAPPii99JI0d660ebM0apQdjbjjDlt+223+i7u9Xn5ZGj68ZtJQUSFdd520Zo00b55dw1FSYh/l5af//fwk3lGLk/eHraysMVohBZ8wkFgAAAAgXCJ+8vaNN9oNkR57zH74v/BCafHiqgXdxcU11xNs2SKtXCl9+GHN+nbvlt55x76+8EL/smXL7AF7juQdtVi3ziYULpd00UU1RisAAAAAJ4oyxphIN8Jpvv32W7Vv3167du1Su2rbvJ52b7xh9871WrzYnhZ4kiVL7Ja89fnoI2nw4AZsHwAAwBkmYp8LG6GIT4VCNS1bVr2uZW2FV3a2FBcXuKq4OAePzgAAAOBnh8TCSbwrsuPipKeeqrG2wquysv71IuXlNZdsAAAAAKcLiYWTHD1qn/v1CzjXaebMunen9fJ4bBwAAAAQDiQWTuJNLOLjA4Zt2xZcdcHGAQAAAKEisXCSIBOLTp2Cqy7YOAAAACBUJBZO4l1jUU9iMXp0zS14TxYdbeMAAACAcCCxcJIgRyxcLikhIXBVCQk1D/IGAAAATpeIH5CHaq64QkpPr3cO04oV0uHDgas6fNjGseUsAAAAwoHEwkkyM+2jHnv2BFddsHEAAABAqJgK1Qi1bt2wcQAAAECoSCycZO1aadEiaefOgGHff19/Ve3bS4MGNVC7AAAAcOqmTbMHHo8fX3UtO9teq/647z7/7ysuloYNs4tmU1OlCROkEyf8Y/LzpYsukmJjpc6dpTlzTvObqR+JhZP893/bf0RvvVVnSGWlNGpU/VU98wyLtwEAACLms8+kF16Qzj+/Ztndd9s5697H009XlVVW2s+D5eXSP/8pzZ1rk4bHHquK2bHDxvzqV1JhoU1cfvMb6YMPTvvbCoTEwkmOHLHPAXaFys+Xfvih/qpatGiYJgEAAOAUHT4s5eZKL71U+4eyhAS7YY/3kZRUVfbhh1JRkfTqq9KFF0qXXSZNmSLNmGGTDUl6/nmpY0f7R+lzz5XGjpWuu076n/8Jz/urA4mFkwSx3Wx+fnBVBRsHAACABjZmjB1RyMmpvXzePKlVK6lnT2nSpKo/LkvSqlV2M5+0tKprQ4dKhw5JX3xRFXNy3UOH2usRxK5QThLkORYAAAAIs7Iy++HeKzbWPk42f760bp2dClWbm2+Wzj5batNG+vxzaeJEacsWaeFCW15S4p9USFVfl5QEjjl0yH6ejNBnSRILJwkiscjOlv7rv+qvivMrAAAAGk5Sjx7+Fx5/XHriCf9ru3ZJ48ZJeXlSXFztFd1zT9XrzEy7jefgwdK2bfWeZeZ0JBZOEmRikZgY+IC8xEQSCwAAgIZ0qKhISW3bVl2obbRi7Vpp7167W5NXZaX08cfSn/8sHT9ec3ed/v3t89df28QiPV0qKPCPKS21z+npVc/ea9VjkpIiOvOFxMJJmAoFAADgTM2a+S+yrs3gwdLGjf7X7rhD6t7dTnmqbcvOwkL77D2ALCtLevJJm6CkptpreXn2Z3tHTbKy7BEF1eXl2esRRGLhJFOmSPv2BRwGy88PPFoh2fL8fPtvGwAAAGHSrJldkF1d06ZSSoq9vm2b9Npr0uWX22uffy498ID0i19UbUs7ZIhNIG691W5DW1IiPfqoXRDuHSW57z47AvLww9Kdd0pLl0pvvim991543+9JSCyc5Oab6w05lV2hSCwAAAAcxO2WPvpI+t//lX780Z5ofO21NnHwcrmkd9+1B5dlZdnEZORI6Q9/qIrp2NEmEQ88IE2fLrVrJ/3f/9mdoSKIxAIAAAA4Xar/Vbh9e2n58vq/5+yza051Oll2trR+fSgta3CcY+EUHo89EGXFippHtlcT7KJsFm8DAAAgnBixcIpjx6qGr8rK7NZOtcjOtruXHTtWd1VxcSQWAAAACC9GLJzCuyOUFHBXqMrKqtPc61JebuMAAACAcCGxcApvYtGkSe1bkf3bzJl21lQgHo+NAwAAAMKFxMIpgjzDYtu24KoLNg4AAABoCCQWThFkYhHsSe+N/ER4AAAANDIkFk5x5Ih9riexGD1aiq6n16KjbRwAAAAQLiQWThHkiIXLJSUkBK4qISHgMg0AAACgwbHdrFN06iQ984zUvHnAsBUrpMOHA1d1+LCNY8tZAAAAhAuJhVNkZNhj2euxZ09w1QUbBwAAADQEpkI1Mq1bN2wcAAAA0BBILJziu++kf/5T2r49YNigQVJKSuCqUlJsHAAAABAuJBZO8de/SgMHSpMm1Rt6/Hho5QAAAEBDI7FwiiB3hcrPD27xdn5+g7QKAAAACAqLtyNp1y7p++9VWSmVrtyuNpK+WndYeXetkyRFp6fqW7WTJCUnSwcOSMuXB1d1fr40ePDpaTYAAABwMhKLSDl+XOrbVyotlUtSm39f7rrxb+q68W+SpD1KVwd9o3LFRqyZAAAAQDCYChUpbrf2J2aoso4uqFS0dqm9yuX+SdVzhgUAAADCicQiQio9Ubr/4BS55Km13CWPJmuKpKifVH+fPiE0DgAAADhFJBYRsmKFNG/fEBWor07I5Vd2Qi4VqK8+1JCfXP/tt4fYQAAAAOAUkFhEiD0ZO0qTNUUxqvQri1FlSKMVkrRtW0jNAwAAAE4JiUWEeE/G/lD+oxYNMVohSZ06hdpCAAAAIHgkFhEyaJDUrp108qhFQ4xWSNJf/hJyEwEAAICgkVhEiMslTZ8uRUVVjVpIapDRir59pcTEhmglAAAAEBwSiwi65hrpr3+V2rWL0n/qKRXpXP2nnlIooxV9+0oFBQ3XRgAAACAYHJAXYddcI111lbRiRY7W7y7S5aVS/x9smfe07bpel5dLn3wilZVJnTvb6U+MVAAAACASSCwcwOXiQDsAAAA0bkyFAgAAABAyEgsAAAAAISOxAAAAABAyEgsAAAAAISOxAAAAABAyEgsAAAAAISOxAAAAABAyEgsAAAAAISOxAAAAABAyEgsAAAAAISOxAAAAABAyEgsAAAAAIYuJdAOcyOPxSJL27NkT4ZYAAAAgkryfB72fD1E3EotalJaWSpL69esX4ZYAAADACUpLS5WRkRHpZjhalDHGRLoRTnPixAmtX79eaWlpio4Oz2yxsrIy9ejRQ0VFRWrWrFlYfibqRn84C/3hLPSHs9AfzkJ/OEtD9IfH41Fpaal69eqlmBj+Jh8IiYVDHDp0SM2bN9fBgweVlJQU6eac8egPZ6E/nIX+cBb6w1noD2ehP8KLxdsAAAAAQkZiAQAAACBkrieeeOKJSDcClsvlUnZ2NvP3HIL+cBb6w1noD2ehP5yF/nAW+iN8WGMBAAAAIGRMhQIAAAAQMhILAAAAACEjsQAAAAAQMhILh5gxY4Y6dOiguLg49e/fXwUFBZFuUqMydepU9e3bV82aNVNqaqqGDx+uLVu2+MUcO3ZMY8aMUUpKihITE3Xttdf6Tln3Ki4u1rBhw5SQkKDU1FRNmDBBJ06c8IvJz8/XRRddpNjYWHXu3Flz5syp0R7609+0adMUFRWl8ePH+67RH+G1e/du3XLLLUpJSVF8fLwyMzO1Zs0aX7kxRo899phat26t+Ph45eTkaOvWrX517N+/X7m5uUpKSlJycrLuuusuHT582C/m888/16BBgxQXF6f27dvr6aefrtGWBQsWqHv37oqLi1NmZqYWLVp0et60Q1VWVmry5Mnq2LGj4uPj1alTJ02ZMkXVlzzSH6fXxx9/rF//+tdq06aNoqKi9Pbbb/uVO+n+B9OWxi5Qf1RUVGjixInKzMxU06ZN1aZNG91222367rvv/OqgPxzCIOLmz59v3G63eeWVV8wXX3xh7r77bpOcnGxKS0sj3bRGY+jQoWb27Nlm06ZNprCw0Fx++eUmIyPDHD582Bdz3333mfbt25slS5aYNWvWmIsvvtgMGDDAV37ixAnTs2dPk5OTY9avX28WLVpkWrVqZSZNmuSL2b59u0lISDAPPvigKSoqMs8995xxuVxm8eLFvhj6019BQYHp0KGDOf/88824ceN81+mP8Nm/f785++yzze23325Wr15ttm/fbj744APz9ddf+2KmTZtmmjdvbt5++22zYcMGc+WVV5qOHTuao0eP+mIuvfRSc8EFF5hPP/3UrFixwnTu3NmMGDHCV37w4EGTlpZmcnNzzaZNm8zrr79u4uPjzQsvvOCL+eSTT4zL5TJPP/20KSoqMo8++qhp0qSJ2bhxY3huhgM8+eSTJiUlxbz77rtmx44dZsGCBSYxMdFMnz7dF0N/nF6LFi0yjzzyiFm4cKGRZN566y2/7WVz1wAAC3dJREFUcifd/2Da0tgF6o8DBw6YnJwc88Ybb5gvv/zSrFq1yvTr18/07t3brw76wxlILBygX79+ZsyYMb6vKysrTZs2bczUqVMj2KrGbe/evUaSWb58uTHG/mJq0qSJWbBggS9m8+bNRpJZtWqVMcb+YouOjjYlJSW+mFmzZpmkpCRz/PhxY4wxDz/8sDnvvPP8ftaNN95ohg4d6vua/qxSVlZmunTpYvLy8swvf/lLX2JBf4TXxIkTzSWXXFJnucfjMenp6eaPf/yj79qBAwdMbGysef31140xxhQVFRlJ5rPPPvPFvP/++yYqKsrs3r3bGGPMzJkzTYsWLXz94/3Z3bp18319ww03mGHDhvn9/P79+5t77703tDfZiAwbNszceeedfteuueYak5uba4yhP8Lt5A+yTrr/wbTl56a2RO9kBQUFRpLZuXOnMYb+cBKmQkVYeXm51q5dq5ycHN+16Oho5eTkaNWqVRFsWeN28OBBSVLLli0lSWvXrlVFRYXffe7evbsyMjJ893nVqlXKzMxUWlqaL2bo0KE6dOiQvvjiC19M9Tq8Md466E9/Y8aM0bBhw2rcM/ojvN555x316dNH119/vVJTU9WrVy+99NJLvvIdO3aopKTE7z41b95c/fv39+uP5ORk9enTxxeTk5Oj6OhorV692hfzi1/8Qm632xczdOhQbdmyRf/61798MYH67EwwYMAALVmyRF999ZUkacOGDVq5cqUuu+wySfRHpDnp/gfTljPRwYMHFRUVpeTkZEn0h5OQWETYvn37VFlZ6ffhSZLS0tJUUlISoVY1bh6PR+PHj9fAgQPVs2dPSVJJSYncbrfvl5BX9ftcUlJSaz94ywLFHDp0SEePHqU/q5k/f77WrVunqVOn1iijP8Jr+/btmjVrlrp06aIPPvhAo0aN0v3336+5c+dKqrqfge5TSUmJUlNT/cpjYmLUsmXLBumzM6k/fve73+mmm25S9+7d1aRJE/Xq1Uvjx49Xbm6uJPoj0px0/4Npy5nm2LFjmjhxokaMGKGkpCRJ9IeTcAQhfnbGjBmjTZs2aeXKlZFuyhlr165dGjdunPLy8hQXFxfp5pzxPB6P+vTpo6eeekqS1KtXL23atEnPP/+8Ro4cGeHWnXnefPNNzZs3T6+99prOO+88FRYWavz48WrTpg39AQRQUVGhG264QcYYzZo1K9LNQS0YsYiwVq1ayeVy1dgNp7S0VOnp6RFqVeM1duxYvfvuu1q2bJnatWvnu56enq7y8nIdOHDAL776fU5PT6+1H7xlgWKSkpIUHx9Pf/7b2rVrtXfvXl100UWKiYlRTEyMli9frmeffVYxMTFKS0ujP8KodevW6tGjh9+1c889V8XFxZKq7meg+5Senq69e/f6lZ84cUL79+9vkD47k/pjwoQJvlGLzMxM3XrrrXrggQd8o3v0R2Q56f4H05YzhTep2Llzp/Ly8nyjFRL94SQkFhHmdrvVu3dvLVmyxHfN4/FoyZIlysrKimDLGhdjjMaOHau33npLS5cuVceOHf3Ke/furSZNmvjd5y1btqi4uNh3n7OysrRx40a/X07eX17eD2VZWVl+dXhjvHXQn9bgwYO1ceNGFRYW+h59+vRRbm6u7zX9ET4DBw6ssf3yV199pbPPPluS1LFjR6Wnp/vdp0OHDmn16tV+/XHgwAGtXbvWF7N06VJ5PB7179/fF/Pxxx+roqLCF5OXl6du3bqpRYsWvphAfXYmOHLkiKKj/f/7dblc8ng8kuiPSHPS/Q+mLWcCb1KxdetWffTRR0pJSfErpz8cJNKrx2G3w4yNjTVz5swxRUVF5p577jHJycl+u+EgsFGjRpnmzZub/Px8s2fPHt/jyJEjvpj77rvPZGRkmKVLl5o1a9aYrKwsk5WV5Sv3bm86ZMgQU1hYaBYvXmzOOuusWrc3nTBhgtm8ebOZMWNGrdub0p81Vd8Vyhj6I5wKCgpMTEyMefLJJ83WrVvNvHnzTEJCgnn11Vd9MdOmTTPJycnm73//u/n888/NVVddVev2mr169TKrV682K1euNF26dPHbzvHAgQMmLS3N3HrrrWbTpk1m/vz5JiEhocZ2jjExMeZPf/qT2bx5s3n88cfPiO1Nqxs5cqRp27atb7vZhQsXmlatWpmHH37YF0N/nF5lZWVm/fr1Zv369UaSeeaZZ8z69et9uww56f4H05bGLlB/lJeXmyuvvNK0a9fOFBYW+v0fX32HJ/rDGUgsHOK5554zGRkZxu12m379+plPP/000k1qVCTV+pg9e7Yv5ujRo2b06NGmRYsWJiEhwVx99dVmz549fvV888035rLLLjPx8fGmVatW5qGHHjIVFRV+McuWLTMXXnihcbvd5pxzzvH7GV70Z00nJxb0R3j94x//MD179jSxsbGme/fu5sUXX/Qr93g8ZvLkySYtLc3ExsaawYMHmy1btvjF/PDDD2bEiBEmMTHRJCUlmTvuuMOUlZX5xWzYsMFccsklJjY21rRt29ZMmzatRlvefPNN07VrV+N2u815551n3nvvvYZ/ww526NAhM27cOJORkWHi4uLMOeecYx555BG/D0n0x+m1bNmyWv/PGDlypDHGWfc/mLY0doH6Y8eOHXX+H79s2TJfHfSHM0QZU+2oTwAAAAD4CVhjAQAAACBkJBYAAAAAQkZiAQAAACBkJBYAAAAAQkZiAQAAACBkJBYAAAAAQkZiAQAAACBkJBYAAAAAQkZiAQA/E/n5UlSUdOBA+H92VJR9JCcHF+9ta1SUNHz4aW0aACBMSCwAoBHKzpbGj/e/NmCAtGeP1Lx5RJqk2bOlr74KLtbb1htuOL1tAgCED4kFAPxMuN1SerodBYiE5GQpNTW4WG9b4+NPb5sAAOFDYgEAjcztt0vLl0vTp1dNJ/rmm5pToebMsR/2331X6tZNSkiQrrtOOnJEmjtX6tBBatFCuv9+qbKyqv7jx6Xf/lZq21Zq2lTq39/Wfao2bJB+9SupWTMpKUnq3VtasybUdw8AcKqYSDcAAHBqpk+3U4569pT+8Ad77ayzbHJxsiNHpGeflebPl8rKpGuuka6+2iYcixZJ27dL114rDRwo3Xij/Z6xY6WiIvs9bdpIb70lXXqptHGj1KVL8O3MzZV69ZJmzZJcLqmwUGrSJOS3DwBwKBILAGhkmje3U4kSEux0okAqKuwH+06d7NfXXSf95S9SaamUmCj16GFHFZYts4lFcbFdK1FcbJMKyY5eLF5srz/1VPDtLC6WJkyQune3X59KUgIAaHxILADgZywhoSqpkKS0NDsFKjHR/9revfb1xo12WlTXrv71HD8upaSc2s9+8EHpN7+xiUxOjnT99f5tAQD8vJBYAMDP2MlTj6Kiar/m8djXhw/baUtr19rn6qonI8F44gnp5pul996T3n9fevxxO73q6qtPrR4AQONAYgEAjZDb7b/guqH06mXr3btXGjQo9Pq6drWPBx6QRoyw06lILADg54ldoQCgEerQQVq92i7Y3revasQhVF272kXXt90mLVwo7dghFRRIU6fakYdgHT1qF4Hn50s7d0qffCJ99pl07rkN004AgPOQWABAI/Tb39qpSj162B2hiosbru7Zs21i8dBDdpva4cNtUpCREXwdLpf0ww+2nq5d7UF4l10m/f73DddOAICzRBljTKQbAQBo3KKi7La0w4ef2vfdfrs9d+Ptt09LswAAYcSIBQCgQYwYIbVrF1zsihV2Mfi8eae3TQCA8GHEAgAQsq+/ts8ul9SxY/3xR49Ku3fb14mJ9Z/HAQBwPhILAAAAACFjKhQAAACAkJFYAAAAAAgZiQUAAACAkJFYAAAAAAgZiQUAAACAkJFYAAAAAAgZiQUAAACAkJFYAAAAAAgZiQUAAACAkP0/QijBTCMikTEAAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f358ef7bbd0>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f358eebc7d0>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R_exp = (wf_res.recovery_time[:,2].*sor_hs+(1-sor_hs)-sw0)./(1-sw0)\n",
    "t_exp_dp = wf_res.dp_time[:,1]\n",
    "dp_exp = wf_res.dp_time[:,2]\n",
    "t_exp_R = wf_res.recovery_time[:,1]\n",
    "# R_exp = wf_res.recovery_time[:,2]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Later, we need to convert the above data back to the tertiary recovery factor, as if the core flooding experiments starts with a core saturated with $S_{or,hs}$ oil saturation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "exp_data(Real[0.0, 302.893, 605.786, 908.679, 1211.57, 1514.47, 1817.36, 2120.25, 2423.14, 2726.04  …  1.06998e5, 1.08153e5, 109308.0, 1.10463e5, 1.11618e5, 1.12772e5, 113927.0, 1.15082e5, 1.16237e5, 1.17391e5], Real[4312.5, 4628.38, 4934.83, 5241.69, 5548.09, 5854.5, 6161.34, 6467.74, 6774.15, 7090.33  …  5795.9, 5795.41, 5794.94, 5794.47, 5794.02, 5793.57, 5793.14, 5792.71, 5792.29, 5791.87], Real[0.0, 302.893, 605.786, 908.679, 1211.57, 1514.47, 1817.36, 2120.25, 2423.14, 2726.04  …  1.06998e5, 1.08153e5, 109308.0, 1.10463e5, 1.11618e5, 1.12772e5, 113927.0, 1.15082e5, 1.16237e5, 1.17391e5], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.388864, 0.388981, 0.389096, 0.389208, 0.389318, 0.389426, 0.389532, 0.389636, 0.389737, 0.389837])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# struct\n",
    "struct exp_data\n",
    "    t_exp_dp\n",
    "    dp_exp\n",
    "    t_exp_R\n",
    "    R_exp\n",
    "end\n",
    "\n",
    "# convert the recovery data\n",
    "R_conv = (R_exp.*(1-sw0)+sw0-(1-sor_hs))/sor_hs\n",
    "exp_data1 = exp_data(t_exp_dp, dp_exp, t_exp_R, R_conv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ee1RUVDB27FiCg4Pp3LkzX3/9tdv327lzJ7fddhtBQUFER0czevRoiouL3Y77pz/9iWnTphEeHk5MTAx/+ctflP0dOnQA4O6770alUinvmxNJtHyIa3oHt4rWKaloCSHEZbHbnJUsHHXsrN22+pkm6UY817Bhw5g8eTKjR4+mtLSUn3/+mWeffZZFixYRHR2ttFuyZAl+fn5s3ryZ+fPn8/rrr7No0SJl/8SJE8nKymLp0qXs2LGD3/3ud9x66638+uuvSpvKykpeffVVFi1axK5du4iKiqozpiVLlhAZGcnmzZuZNGkSEyZM4He/+x3XXHMNW7duZcSIEYwePZrKSmcBoKSkhJtuuom+ffvy008/sXr1agoKCrjvvvvOO25gYCA//vgjc+bM4YUXXmDt2rUAbNmyBYAPPviAvLw85X1zIomWD3FNWOqvVRMnY7SEEOLKHNl0fiXLjQNMx53tPGTFihUEBQW5PV5++WUA/vrXvxIWFsa4ceN48MEHSUtL47e/de/KjI+PZ968eXTt2pUHHniASZMmMW/ePAByc3P54IMPWL58Oddddx2dOnXiqaeeYujQoW7dldXV1SxcuJBrrrmGrl27YjAY6oy1d+/ezJw5ky5dujBjxgz8/f2JjIzkscceo0uXLsyaNYuTJ0+yY8cOAN566y369u3Lyy+/TLdu3ejbty/vv/8+69at45dfflGO26tXL5577jm6dOnCmDFjGDBgABkZGQC0adMGgNDQUGJiYpT3zYmM0fIhroqW865DZ6J1urKacksNQXr5VQshRIOUFzRuu8tw44038vbbb7ttCw8PB0Cn0/Hxxx/Tq1cvEhISlATqbEOGDEGlUinvk5OTmTt3LjabjZycHGw2G1dddZXbZywWCxEREcp7nU5Hr169Lhnr2W00Gg0RERH07NlT2eaqtBUWFgKwfft21q1bR1BQ0HnHOnDggBLXueeOjY1VjtESyNXXh5irz1S0gv21hBq0lFRWc+x0Jd1ijF6OTgghWpig6Eu3aUi7yxAYGEjnzp0vuH/TJmc17dSpU5w6dYrAwMB6H7u8vByNRkN2djYajcZt39nJT0BAgFuydiFardbtvUqlctvmOobdblfO/5vf/IZXX331vGPFxsZe9LiuY7QEkmj5kDOD4Z3/wcSHGSipLOXoqSpJtIQQoqESrnHeXWjKo+5xWirn/oRrmjoywFn1mTJlCu+99x7Lli0jLS2Nb775BrX6zKigH3/80e0zP/zwA126dEGj0dC3b19sNhuFhYVcd911TR0+/fr147PPPqNDhw74+V1+OqLVarHZmu8qKDJGy4ecXdECZJyWEEJcCbXGOYUDAOdWdGrf3/qKs52HWCwW8vPz3R7FxcXYbDYefPBBUlJSGDt2LB988AE7duxg7ty5bp/Pzc1l6tSp7Nu3j3/961/87W9/44knngDgqquu4oEHHmDMmDF8/vnnHDp0iM2bNzN79mxWrlzpse/kkp6ezqlTp/j973/Pli1bOHDgAGvWrGHs2LENSpw6dOhARkYG+fn5nD592oMRXx5JtHzIuRWtM4mW3HkohBCXJem3cN+HYIx1325s69zu4Xm0Vq9eTWxsrNtj6NChvPTSSxw5coR3330XcHa1/f3vf2fmzJls375d+fyYMWOoqqpi0KBBpKen88QTTzBu3Dhl/wcffMCYMWN48skn6dq1K3fddRdbtmyhffv2Hv1eAG3btmXjxo3YbDZGjBhBz549mTx5MqGhoW5VuUuZO3cua9euJT4+nr59+3ow4sujcpw9oYa4bCaTiZCQEEpLSzEam76bzuFwkDhjFQCb/3wzUcH+fJh1mFlf7mJEUjR/HzOgyWMSQghvM5vNHDp0iMTERPz9/S//QHab8+7C8gLnmKyEazxayWoMw4YNo0+fPrzxxhveDsXrLvZ34Onrt4zR8hGuqR3AOY8WSEVLCCEajVoDiU0/jkm0fNJ16CPcEq2zBsMDHJUxWkIIIYRXSEXLR1hq59BSqUCrcQ7SbFdb0Soz11BaVU1IgPaCnxdCCOFbzl5KR3iPVLR8hHLHoZ9GmavEoPMjIlAHwNFTUtUSQgghmpokWj7Cdceha2oHl7hwZ/ehjNMSQrRmct9X6+bN378kWj7CVdFyTe3gInNpCSFaM9es4q6FjEXr5Pr9nzvLfFOQMVo+wnyBilanSOdyDPvyy5o8JiGE8DaNRkNoaKiyNp7BYKjXcjLCNzgcDiorKyksLCQ0NPS8pYaagiRaPsKizArv/kfUvV0IADtPmJo8JiGEaA5iYmIAWtRCxKJxhYaGKn8HTU0SLR9hrnbNCu9e0epRm2j9WlCGudp2XiImhBC+TqVSERsbS1RUFNXV1d4ORzQxrVbrlUqWiyRaPsLVdag/J5FqG+JPeKCOUxVW9uWX0Ts+1BvhCSGE12k0Gq9ecEXrJIPhfcSFug5VKhXd2zqXFNh5orTJ4xJCCCFaM0m0fIRS0fI7/1fq6j7ceVzGaQkhhBBNyauJ1ttvv02vXr0wGo0YjUaSk5P5+uuvlf3Dhg1DpVK5PcaPH+92jNzcXFJTUzEYDERFRfH0009TU1Pj1iYzM5N+/fqh1+vp3LkzixcvPi+WBQsW0KFDB/z9/Rk8eDCbN2/2yHf2lAtVtAB6tHUmWrukoiWEEEI0Ka8mWnFxcbzyyitkZ2fz008/cdNNN3HnnXeya9cupc1jjz1GXl6e8pgzZ46yz2azkZqaitVqZdOmTSxZsoTFixcza9Yspc2hQ4dITU3lxhtvZNu2bUyePJlHH32UNWvWKG2WLVvG1KlTee6559i6dSu9e/cmJSWlRd2hcrGKVs/aitbevDKsZ62JKIQQQgjP8mqi9Zvf/Ibbb7+dLl26cNVVV/HSSy8RFBTEDz/8oLQxGAzExMQoD6PRqOz73//+x+7du/noo4/o06cPt912Gy+++CILFizAarUC8M4775CYmMjcuXO5+uqrmThxIvfeey/z5s1TjvP666/z2GOPMXbsWJKSknjnnXcwGAy8//77TffDuELKEjza83+l8eEBBPv7YbXZ+bVQ5tMSQgghmkqzGaNls9lYunQpFRUVJCcnK9s//vhjIiMj6dGjBzNmzHCb3TcrK4uePXsSHR2tbEtJScFkMilVsaysLIYPH+52rpSUFLKysgCwWq1kZ2e7tVGr1QwfPlxpUxeLxYLJZHJ7eJOyBI/f+V2HKpXqTPehjNMSQgghmozXp3fIyckhOTkZs9lMUFAQX3zxBUlJSQD84Q9/ICEhgbZt27Jjxw6mT5/Ovn37+PzzzwHIz893S7IA5X1+fv5F25hMJqqqqjh9+jQ2m63ONnv37r1g3LNnz+b555+/si/fiFxjtPR1VLQAerQzknXwJDtPlHIf8U0ZmhBCCNFqeT3R6tq1K9u2baO0tJR///vfpKWlsX79epKSkhg3bpzSrmfPnsTGxnLzzTdz4MABOnXq5MWoYcaMGUydOlV5bzKZiI/3XgLjmrC0rooWnLnzMOe4DIgXQgghmorXEy2dTkfnzp0B6N+/P1u2bGH+/Pm8++6757UdPHgwAPv376dTp07ExMScd3dgQUEBcGbJhZiYGGXb2W2MRiMBAQHKBHZ1tbnYdP16vR69Xt/Ab+s5lpoL33UIZxKtPXkmamx2/DTNptdYCCGE8FnN7mprt9uxWCx17tu2bRsAsbGxACQnJ5OTk+N2d+DatWsxGo1K92NycjIZGRlux1m7dq0yDkyn09G/f3+3Nna7nYyMDLexYs2dsgTPBboOEyMCCdRpMFfbOVhc0ZShCSGEEK2WVytaM2bM4LbbbqN9+/aUlZXxySefkJmZyZo1azhw4ACffPIJt99+OxEREezYsYMpU6Zw/fXX06tXLwBGjBhBUlISo0ePZs6cOeTn5zNz5kzS09OVatP48eN56623mDZtGg8//DDffvstn376KStXrlTimDp1KmlpaQwYMIBBgwbxxhtvUFFRwdixY73yc7kcl+o6VKtVJLU1suXwaXYeL+Wq6OCmDE8IIYRolbyaaBUWFjJmzBjy8vIICQmhV69erFmzhltuuYWjR4/yzTffKElPfHw8I0eOZObMmcrnNRoNK1asYMKECSQnJxMYGEhaWhovvPCC0iYxMZGVK1cyZcoU5s+fT1xcHIsWLSIlJUVpM2rUKIqKipg1axb5+fn06dOH1atXnzdAvjlzdR1eqKIF0L1tSG2iZeKefk0VmRBCCNF6qRwOh8PbQfgCk8lESEgIpaWlbnN9NZV7Fm5ka24J7zzYn1t71D227N/Zx3hq+XYGdQjn0/Etp1tUCCGE8BRPX7+b3RgtcXnODIa/8K/UNUP8rhOl2O2SXwshhBCeJomWj1DGaF3grkOATm0C0fupqbDaOHxSBsQLIYQQniaJlo9wLcFT11qHLn4aNVfHOsuiO0/IDPFCCCGEp0mi5SMuNY+WS492tYmWTFwqhBBCeJwkWj7C4ppH6yIVLTgzTksSLSGEEMLzJNHyEeaaS4/RAucUDwA5x0qpsdk9HpcQQgjRmkmi5QNsdgfVNuddhJdKtLrFBGP096PMUsMOqWoJIYQQHiWJlg+w1Faz4NJdh34aNdd2jgTgu1+KPRqXEEII0dpJouUDXHccwqUrWgDXX9UGgA2/FnksJiGEEEJIouUTXBUtrUaFRq26ZPuhtRWtbUdLKK2q9mhsQgghRGsmiZYPODOH1qWrWQDx4QY6RgZiszvIOiDdh0IIIYSnSKLlA87MCl//X+eZ7kNJtIQQQghPkUTLB7gmK61vRQvgui7O7sMNvxQh64oLIYQQniGJlg9wVbT0DahoDekYgVaj4tjpKg6frPRUaEIIIUSrJomWD1CW32lARStQ70f/hDAAvpO7D4UQQgiPkETLB1zOGC2A67rUjtOS+bSEEEIIj5BEywcoXYcNqGgB3FA7ID7rQDHWGlmORwghhGhskmj5AKXrsIEVraRYI+GBOiqsNn7OPe2J0IQQQohWTRItH2Cprt+C0udSq1XK5KXfyTQPQgghRKOTRMsHnJmwtOG/TlmORwghhPAcSbR8gGsJnoZWtODMfFo5x0s5VWFt1LiEEEKI1k4SLR9wJRWtaKM/3WKCcThg/S+FjR2aEEII0apJouUDzJc5RsvllqRoAL7cdqLRYhJCCCGEJFo+QVmC5zITrbv7tgOcA+KLyiyNFpcQQgjR2kmi5QPOzKN1eb/Ojm2C6B0fis3u4L/bpaolhBBCNBZJtHyAWZlH6/IqWgB392kLwBc/H2+UmIQQQgghiZZPsFzmEjxn+03vtvipVeQcL2V/YVljhSaEEEK0apJo+QBXRauhS/CcLSJIryzJI1UtIYQQonFIouUDGqOiBXBX7aD4//x8ArvdccVxCSGEEK2dJFo+QBmjdQUVLXBO8xCk9+N4SRVbDp9qjNCEEEKIVk0SLR/gqmjpr7Ci5a/VcFuPGEC6D4UQQojGIImWD7A0wl2HLnf3c3YfrszJU6aNEEIIIcTlkUTLBygzw19h1yHAkMQIYkP8KTPX8O1eWZJHCCGEuBKSaPkAcyN1HQKo1Sru7OOsan2WfeyKjyeEEEK0ZpJo+QBLIw2Gd7m3fxwA3+4r5FBxRaMcUwghhGiNJNFq4RwOR6NWtAA6RwVxU7coHA5Y9N3BRjmmEEII0RpJotXCVdscuKa8aqyKFsBj13UE4N/Zxygul4WmhRBCiMvh1UTr7bffplevXhiNRoxGI8nJyXz99dfKfrPZTHp6OhEREQQFBTFy5EgKCgrcjpGbm0tqaioGg4GoqCiefvppampq3NpkZmbSr18/9Ho9nTt3ZvHixefFsmDBAjp06IC/vz+DBw9m8+bNHvnOjc1Sc+bOwMaqaAEM6RhOr7gQLDV2/pl1pNGOK4QQQrQmXk204uLieOWVV8jOzuann37ipptu4s4772TXrl0ATJkyhf/+978sX76c9evXc+LECe655x7l8zabjdTUVKxWK5s2bWLJkiUsXryYWbNmKW0OHTpEamoqN954I9u2bWPy5Mk8+uijrFmzRmmzbNkypk6dynPPPcfWrVvp3bs3KSkpFBY2/7vuzNV25bXer/F+nSqVinHXO6taH2YdpsoqUz2kDfvzAAAgAElEQVQIIYQQDeZoZsLCwhyLFi1ylJSUOLRarWP58uXKvj179jgAR1ZWlsPhcDhWrVrlUKvVjvz8fKXN22+/7TAajQ6LxeJwOByOadOmObp37+52jlGjRjlSUlKU94MGDXKkp6cr7202m6Nt27aO2bNn1zvu0tJSB+AoLS1t2Be+QrknKxwJ01c4rvrzqkY/dnWNzTH01QxHwvQVjg83HWr04wshhBDe5unrd7MZo2Wz2Vi6dCkVFRUkJyeTnZ1NdXU1w4cPV9p069aN9u3bk5WVBUBWVhY9e/YkOjpaaZOSkoLJZFKqYllZWW7HcLVxHcNqtZKdne3WRq1WM3z4cKVNXSwWCyaTye3hDY05Wem5/DRqHh3qrGot+v4QNln/UAghhGgQrydaOTk5BAUFodfrGT9+PF988QVJSUnk5+ej0+kIDQ11ax8dHU1+fj4A+fn5bkmWa79r38XamEwmqqqqKC4uxmaz1dnGdYy6zJ49m5CQEOURHx9/eT+AK6TccdiI3YZn+92AOEINWo6crGTNrgv/PIQQQghxPq8nWl27dmXbtm38+OOPTJgwgbS0NHbv3u3tsC5pxowZlJaWKo+jR496JQ5PVrQADDo/Rg9JAODdDQdxOKSqJYQQQtSX1xMtnU5H586d6d+/P7Nnz6Z3797Mnz+fmJgYrFYrJSUlbu0LCgqIiXEufBwTE3PeXYiu95dqYzQaCQgIIDIyEo1GU2cb1zHqotfrlbslXQ9vcC0o7d+Idxyea0xyB3R+arYfLWHj/pMeO48QQgjha7yeaJ3LbrdjsVjo378/Wq2WjIwMZd++ffvIzc0lOTkZgOTkZHJyctzuDly7di1Go5GkpCSlzdnHcLVxHUOn09G/f3+3Nna7nYyMDKVNc2aucXUdeqaiBdAmWM8fBrUH4OVVe2SslhBCCFFPXk20ZsyYwYYNGzh8+DA5OTnMmDGDzMxMHnjgAUJCQnjkkUeYOnUq69atIzs7m7Fjx5KcnMyQIUMAGDFiBElJSYwePZrt27ezZs0aZs6cSXp6Onq9HoDx48dz8OBBpk2bxt69e1m4cCGffvopU6ZMUeKYOnUq7733HkuWLGHPnj1MmDCBiooKxo4d65WfS0NYql1dh579Vf7p5i4E+/uxO8/E51tlDUQhhBCiPvy8efLCwkLGjBlDXl4eISEh9OrVizVr1nDLLbcAMG/ePNRqNSNHjsRisZCSksLChQuVz2s0GlasWMGECRNITk4mMDCQtLQ0XnjhBaVNYmIiK1euZMqUKcyfP5+4uDgWLVpESkqK0mbUqFEUFRUxa9Ys8vPz6dOnD6tXrz5vgHxz5KpoeWqMlkt4oI5JN3Xm5VV7+X//20dqr1gMOq/++QghhBDNnsoho5sbhclkIiQkhNLS0iYdr/WvzbnM+DyH4VdHsShtoEfPZa62Mfz19Rw7XcWU4VfxxPAuHj2fEEII4Wmevn43uzFaomEsyoLSnq1ogbNqNv3WbgC8u+EAhSazx88phBBCtGSSaLVw5trpHTw1j9a57ugVS9/2oVRabby+9pcmOacQQgjRUkmi1cKZq5tmjJaLSqViZurVAHz601H25ntnRnwhhBCiJZBEq4VTJiz14PQO5+qfEM7tPWOwO2DWl7uwy3QPQgghRJ0k0WrhlCV4PDy9w7lm3HY1Bp2GzYdO8c8fjjTpuYUQQoiWQhKtFs4bFS2A+HADz9zmHBj/ytd7yT1Z2aTnF0IIIVoCSbRaOHMTLMFzIQ8OTmBIx3Cqqm1M+2y7dCEKIYQQ55BEq4VzzQzfVHcdnk2tVjFnZG8CtBp+OHiKj36ULkQhhBDibJJotXCWJpoZ/kLaR0gXohBCCHEhkmi1cGZlrUPvJFoAo4ckMDgxnEqrdCEKIYQQZ5NEq4VT7jr0Qtehi1qtYs69vZQuxDe//dVrsQghhBDNiSRaLZxy16EXK1oACRGB/PWuHgDMz/iVdfsKvRqPEEII0RxIotXCeWserbqM7B/HA4Pb43DA5KXbOHpKxmsJIYRo3bx/dRZXxFzj6jr0bkXLZdZvkugdH0ppVTUTPs5WEkEhhBCiNZJEq4WzKIPhm8evUu+n4e0H+hEeqGPncRPP/mcnDocMjhdCCNE6NY+rs7hsZwbDN4+KFkDb0AD+9vu+qFWwPPsYH8kSPUIIIVopSbRaOHNN86pouVzbOZKnU5zzaz331S5W78z3ckRCCCFE02teV2fRIA6HA2szueuwLuNv6MjvB7XH7oA/Lf2ZzYdOeTskIYQQoklJotWCuaZ2AO/Oo3UhKpWKF+/szi1J0Vhr7Dy6ZAv78su8HZYQQgjRZJrf1VnUm2sgPDTPihaAn0bN337fl/4JYZjMNaS9v5kTJVXeDksIIYRoEpJotWCuqR00ahVaTfP9VfprNfwjbQCdo4LIN5kZ/Y8fKTSZvR2WEEII4XHN9+osLqk5LL9TX6EGHR8+PIjYEH8OFFVw/99/IL9Uki0hhBC+rflfocUFNZfld+qrbWgAS8cNoV1oAAeLKxj19yyOSzeiEEIIHyaJVgvmqmj5t4CKlktCRCBLxw0hPjyAIycrGfVulizVI4QQwme1nCu0OI+5djC8voVUtFziww0sG5dMYmQgx05XMerdLA4UlXs7LCGEEKLRSaLVgllqWs4YrXO5uhE7tQnkRKmZexZu4seDJ70dlhBCCNGoWt4VWijM1S1rjNa5oo3+LPtjMn1qF6Ee/Y/NfLntuLfDEkIIIRqNJFotWEu66/BCIoP0/OuxIdzWIwarzc4TS7fx1re/ykLUQgghfELLvUKLFnfX4YUE6DQs+EM/xl3fEYD/979feGr5DiWRFEIIIVoqSbRaMOWuw2a2oPTlUKtV/N/tV/PiXT1Qq+CzrccY+fYmck/KHYlCCCFarpZ/hW7FznQdtuyK1tlGD0ngn48MJiJQx64TJu7423dk7CnwdlhCCCHEZZFEqwU703XoW7/GaztHsuJPQ+nbPhSTuYZHlvzE/1uzjxqb/dIfFkIIIZoR37pCtzIWH6xoucSGBLBsXDIPXdMBgLfW7ee+d7M4crLCu4EJIYQQDSCJVgvmqxUtF52fmr/8tjtv/r4vwXo/tuaWcNv871i6OVfuShRCCNEi+OYVupU4Mxje9ypaZ/tt77Z8Pfk6BieGU2m18cznOTz2YTbF5RZvhyaEEEJclCRaLZiyBE8LnkervuLCDHzy2BBm3NYNrUbFN3sKGP76ev6dfUyqW0IIIZotr16hZ8+ezcCBAwkODiYqKoq77rqLffv2ubUZNmwYKpXK7TF+/Hi3Nrm5uaSmpmIwGIiKiuLpp5+mpqbGrU1mZib9+vVDr9fTuXNnFi9efF48CxYsoEOHDvj7+zN48GA2b97c6N+5MbmW4PH1ipaLRq3ijzd04sv0oXSLCaakspqnlm/nwX/8yOFiGbslhBCi+fFqorV+/XrS09P54YcfWLt2LdXV1YwYMYKKCveL5mOPPUZeXp7ymDNnjrLPZrORmpqK1Wpl06ZNLFmyhMWLFzNr1iylzaFDh0hNTeXGG29k27ZtTJ48mUcffZQ1a9YobZYtW8bUqVN57rnn2Lp1K7179yYlJYXCwkLP/yAuU0tdVPpKJbU18t9JQ5l+azf0fmo27j9JyhsbWLBuv5J8CiGEEM2BytGM+l2KioqIiopi/fr1XH/99YCzotWnTx/eeOONOj/z9ddfc8cdd3DixAmio6MBeOedd5g+fTpFRUXodDqmT5/OypUr2blzp/K5+++/n5KSElavXg3A4MGDGThwIG+99RYAdrud+Ph4Jk2axDPPPHPJ2E0mEyEhIZSWlmI0Gq/o51BfD32wmcx9Rcy5txf3DYhvknM2N4eLK/jzf3LYuN+5IHWHCAMzU5O4+eooVCqVl6MTQgjR3Hn6+t2sBveUlpYCEB4e7rb9448/JjIykh49ejBjxgwqK8/MFp6VlUXPnj2VJAsgJSUFk8nErl27lDbDhw93O2ZKSgpZWVkAWK1WsrOz3dqo1WqGDx+utDmXxWLBZDK5PZqapYUvKt0YOkQG8tEjg5n7u95EBuk5fLKSRz/8ibQPtrC/sMzb4QkhhGjlmk2iZbfbmTx5Mtdeey09evRQtv/hD3/go48+Yt26dcyYMYN//vOfPPjgg8r+/Px8tyQLUN7n5+dftI3JZKKqqori4mJsNludbVzHONfs2bMJCQlRHvHxTV9RMrvGaLWCwfAXo1KpGNk/jnVP3cD4Gzqh06jZ8EsRKW98x7P/2UlhmdnbIQohhGil/LwdgEt6ejo7d+7k+++/d9s+btw45XXPnj2JjY3l5ptv5sCBA3Tq1Kmpw1TMmDGDqVOnKu9NJlOTJ1utdYzWhQT7a3nmtm7cPzCev67cwzd7CvjnD0f4d/YxHhmayLgbOmL013o7TCGEEK1IsyiFTJw4kRUrVrBu3Tri4uIu2nbw4MEA7N+/H4CYmBgKCtzXwnO9j4mJuWgbo9FIQEAAkZGRaDSaOtu4jnEuvV6P0Wh0ezQ1i1S06tQhMpBFaQP45LHB9IkPparaxlvr9nP9nHW8u/4AldaaSx9ECCGEaARevUI7HA4mTpzIF198wbfffktiYuIlP7Nt2zYAYmNjAUhOTiYnJ8ft7sC1a9diNBpJSkpS2mRkZLgdZ+3atSQnJwOg0+no37+/Wxu73U5GRobSpjmSMVoXd02nSL54/BreHd2fzlFBlFRWM/vrvQx9dR0LM/dTbpGESwghhGd5NdFKT0/no48+4pNPPiE4OJj8/Hzy8/OpqqoC4MCBA7z44otkZ2dz+PBhvvrqK8aMGcP1119Pr169ABgxYgRJSUmMHj2a7du3s2bNGmbOnEl6ejp6vR6A8ePHc/DgQaZNm8bevXtZuHAhn376KVOmTFFimTp1Ku+99x5Llixhz549TJgwgYqKCsaOHdv0P5h6cs0Mr/fRJXgag0qlIqV7DGsmX89r9/YiIcLAqQorc1bv49pXvmX+N79SWlnt7TCFEEL4qHpN73DuXYCXPKhKxdatW0lISLhku7p88MEHPPTQQxw9epQHH3yQnTt3UlFRQXx8PHfffTczZ85066o7cuQIEyZMIDMzk8DAQNLS0njllVfw8zszBC0zM5MpU6awe/du4uLiePbZZ3nooYfczvvWW2/x2muvkZ+fT58+fXjzzTeVrspL8cb0Dj2eW0O5pYbMp4bRITKwSc7Z0tXY7Px3xwn+9u1+DhY552sz6DSMGhjPw9cmEh9u8HKEQgghmpKnr9/1SrTUajVvvPEGISEhlzygw+Hg8ccfZ+fOnXTs2LFRgmwJvJFodf6/VdTYHWTNuInYkIAmOaevsNkdrMrJY8G6/ezNd04DoVbB7T1jefS6jvSJD/VyhEIIIZqCp6/f9b7r8P777ycqKqpebSdNmnTZAYn6qbHZqbE7c2R/Pxmj1VAatYrf9G7LHb1i+X5/MX/fcJDvfi1mxY48VuzIo3d8KGnJCdzeM1bGwAkhhLhs9Uq07HZ7gw5aViYTRXqapebM70QSgcunUqm4rksbruvShj15Jt777iArtuex/WgJU4+W8NLKPYwaGM+ogfEkREj3rBBCiIZpVkvwtGRN3XV4stxC/79+A8DBl29HrZblZhpLcbmFZVuO8vEPRzhRemay08GJ4dw3IJ7besZg0DWbKeiEEEJcgWYxRqsuu3fvJjc3F6vV6rb9t7/9baME1tI0daJ1oqSKa175Fp1GzS8v3ebx87VGNTY73+wp4JPNR/nu1yJc/6UE6f24o1csvxsQT7/2obKmohBCtGDNZoyWy8GDB7n77rvJyclBpVLhytNcFxubzda4EYo6ydQOnuenUXNrj1hu7RHLiZIqPss+xvLsY+SeqmTplqMs3XKUjm0CuW9APPf0bUeU0d/bIQshhGhmGnyVfuKJJ0hMTKSwsBCDwcCuXbvYsGEDAwYMIDMz0wMhirooy+/IQPgm0TY0gEk3dyHzqWEsHTeEkf3iCNBqOFhUwStf72XI7Az+8N4PfPzjEU6WW7wdrhBCiGaiwV2HkZGRfPvtt/Tq1YuQkBA2b95M165d+fbbb3nyySf5+eefPRVrs9bUXYc/557m7oWbiAsL4PvpN3n8fOJ85ZYaVu44wac/HSP7yGllu1oFyZ0iSO3ZlpTu0UQE6b0YpRBCiItpdl2HNpuN4OBgwJl0nThxgq5du5KQkMC+ffsaPUBRN7Msv+N1QXo/Rg1sz6iB7Tl6qpJVOXmszMljx7FSNu4/ycb9J3n2y50kd4wgtVcsKd1jCA/UeTtsIYQQTajBiVaPHj3Yvn07iYmJDB48mDlz5qDT6fj73//eqiYo9TZz7YLSellQulmIDzfwxxs68ccbOpF7spKVOXmsyskj53gp3+8v5vv9xfz5ixz6J4RxU7dohl8dReeoIBlIL4QQPq7BidbMmTOpqHAuXfLCCy9wxx13cN111xEREcGyZcsaPUBRN1lQuvlqH2FgwrBOTBjWiSMnK1iZk8fKHXnsOmFiy+HTbDl8mldX7yU+PICbu0Vz89VRDEoMl/F2QgjhgxplHq1Tp04RFhbWqv/vvKnHaH257ThPLN3GtZ0j+PjRIR4/n7hyx0uq+HZvIRl7Cth04CTWsyadDdRpuK5LG27s1oahXdrQLlSWVBJCiKbQrMZoHT58mLVr12K1Wrnhhhvo0aMH0PBFp8WVs8hdhy1Ou9AARg9JYPSQBCqtNWzcf5KMPQVk7C2kqMzC6l35rN6VD0DHyECu7RzJ0C6RDOkYQUiA1svRCyGEuBz1TrTWrVvHHXfcQVVVlfODfn68//77PPjggx4LTlyYa4yWv8yj1SIZdH7ckhTNLUnR2O0Odp0w8c2eAr77tYjtx0o5WFzBweIK/vnDEdQq6BUXynVdIrm2cyT92oehk7F5QgjRItS763Do0KFERkby9ttv4+/vz8yZM/niiy84ceKEp2NsEZq66/DvGw7w8qq93N23HfNG9fH4+UTTMZmr+eHASTbuL+a7/cUcLKpw26/3U9O3fSiDEiMYnBhO3/ahsiSQEEJcpmbTdbhz5042bdpEbGwsAK+99hrvvvsuJ0+eJCIiotEDExd3ZjC8VDZ8jdFfy4juMYzoHgM4l1v6fn8xG2sfxeVWfjh4ih8OngLAT62iR7sQBieGMygxnAEJ4YQYpKtRCCGag3onWiaTicjISOW9wWAgICCA0tJSSbS84Mz0DjJGy9e1DQ3gvgHx3DcgHofDwYGicjYfOs3mQyf58dAp8krNbDtawrajJby74SAqFXSJCqJf+zD6tg+lb/swOrcJkoXHhRDCCxrU37BmzRpCQkKU93a7nYyMDHbu3Klsa62LSjc1ZQkeqWi1KiqVis5RwXSOCuYPg9vjcDg4drqKLYdPsfmQ83GwuIJfCsr5paCcpVuOAhCs96NP+1D6xjsTrz7xoYTJ5KlCCOFxDUq00tLSztv2xz/+UXmtUqlkUekmYnENhpeKVqumUqmIDzcQH27gnn5xABSVWfg59zQ/Hy1h65HT7DhWSpmlhu9+Lea7X4uVz7YPN9CjnZEe7ULo0TaEHu1CZOZ6IYRoZPVOtOx2+6UbiSYjS/CIC2kTrHcb41Vjs7OvoIytuSX8nHuabbklHCyuIPdUJbmnKlmVk698tl1oAN3bGunZzpl4dW9nJCrY31tfRQghWjy5VamFMlfLEjyifvw0arq3DaF72xBGD0kAoKTSyq4TJnKOl7LzeCm7Tpg4VFzB8ZIqjpdU8b/dBcrno416erQNoXu7ELq3NdI1Opj24QYZ8yWEEPVQr0Trq6++4rbbbkOrrd+dTKtWreLGG28kIEBmt/YUS41UtMTlCzXouLazc14uF5O5mt0nTErilXO8lANF5RSYLBSYCsnYW6i0DdBq6BIdRNfoYLrG1D6ig2kTrG/VK0QIIcS56pVo3X333eTn59OmTZt6HfT+++9n27Ztssi0B7kqWjK9g2gsRn8tQzpGMKTjmbuIK6017MkzsfO4M/Ham2/i14Jyqqpt7DhWyo5jpW7HCDNouSo6mG4xwVwV43zuEh2M0V+mmxBCtE71SrQcDgcPPfQQer2+Xgc1m81XFJS4NFmCRzQFg86P/gnh9E84s8yWze7gyMkK9uWXsa+gTHk+XFzB6cpqfjx0ih8PnXI7TlSwnk5tgujYJpBObYLoFBVEx8hA2oUGSBekEMKn1SvRqutuw4t54IEHmmR29NbMIkvwCC/RqFV0bBNExzZB3NYzVtlurraxv7Ccffll/FJQxt7a57xSM4VlFgrLLGQdPOl2LH+tmsTIIDq1CaRjG+ezKyGT2e6FEL6gXv+SffDBB56OQzSQ3HUomht/rcY5VUS7ELftJnM1B4sqOFBYzsHicg4UVnCgqJzDJyswV9vZk2diT57pvONFG/UkRATSIcJAQkQgCREGOkQE0j7CIF2RQogWQ/6XsYWy1Mhdh6JlMPpr6RMfSp/4ULftNTY7x05XcaConANF5c5krKicA0UVnKqw1g7Ct7D5nG5IgIhAHe1rE6+zE7CEcAPhgToZkC+EaDYk0WqhpKIlWjo/jZoOkYF0iAzk5quj3fadrrBy5FQlR05WcLjY+ex6X1xu5WSF8/Fzbsl5xw3QaogLC6BdWABxYQHEhRncniMkERNCNCFJtFoos1S0hA8LC9QRFqg7rwoGUGau5shJ52Srh09WcKS49vlkJfkmM1XVNn4tLOfXwvI6j+2vVStJV7vQsxMx5+vIIEnEhBCNRxKtFsoiFS3RSgX7a+scCwbOLvW8EjPHTldx7HSl2/PxkiryTWbM1Xb2F5az/wKJmN5PTdvQAGKM/sSG+hMb4k9MSACxyvsAwgxaScaEEPUiiVYL5HA4zlS05K5DIRR6P43SHVkXa42dvNIq9wTs9Jn3eSYzlho7h4orOFRcccHz6PzUxIb41z4CiDnrtTMx8yfcoJOpK4QQl5doZWRkMG/ePPbs2QPA1VdfzeTJkxk+fHijBifqZrXZcTicr2UeLSHqT+enrr2D8cKJWH6pmbzSKvJKzeSVmsk/63VeqZnicgvWGjtHTlZy5GTlhc+lUdMmWE+UUU9UsJ6oYH+igvVEG/1pc9a2iEBJyITwZQ1OtBYuXMgTTzzBvffeyxNPPAHADz/8wO233868efNIT09v9CCFO9fyOyDzaAnRmHR+atpHGGgfYbhgG2uNnQKTK/Gqqk3M3F8XlVuw2uzK2pEX46dWERl0VkJm9HdLzKKMeiKD9EQE6eR/rIRogVQOh6s2Uj9xcXE888wzTJw40W37ggULePnllzl+/HijBthSmEwmQkJCKC0t9fhkrYVlZga9lIFKBQdfvl3GigjRzFTbnMlYYZmFQpOFojLn67O3FZZZOFlhoSH/Agf7+xEZpCcySEdEoJ7IYNeznshAHZHBeiICdUQE6TH6+8m/DULUg6ev3w2uaJWUlHDrrbeet33EiBFMnz69UYISF3dm+R21/EMqRDOk1bjubLxwZQycCdnJciuFZWYKTBYKy8xKElZYm5QV1SZk1TYHZeYaysw1Fx0/5qLTqIkI0inVMNdzm7Pehxl0hAc6H3JjjRCe0eBE67e//S1ffPEFTz/9tNv2L7/8kjvuuKPRAhMXdmb5HfmHUYiWTKtRE1M7eP5iHA4HpqoaiissFJdZOFlhpbjcQnG58/lk7WvXc7mlBqvNrowrq48ArYbwQB1hgVrCDDolCXM+awkL1BFucE67ER6oI9Sgla5MIeqhwYlWUlISL730EpmZmSQnJwPOMVobN27kySef5M0331Ta/ulPf2q8SIVCmaxU/pETolVQqVSEGLSEGLR0ahN0yfbmapszGauthhWXWWuTNKvzfbmFk+VWTlVYOV1ppdrmoKraVq8xZWcL0vsRFqgl3KAj9KzELNSgJdSgJSTA+Qg16AitfW0M0KKRwf+iFWnwGK3ExMT6HVil4uDBgxdtM3v2bD7//HP27t1LQEAA11xzDa+++ipdu3ZV2pjNZp588kmWLl2KxWIhJSWFhQsXEh19Zibp3NxcJkyYwLp16wgKCiItLY3Zs2fj53cmj8zMzGTq1Kns2rWL+Ph4Zs6cyUMPPeQWz4IFC3jttdfIz8+nd+/e/O1vf2PQoEH1+r5NOUbrp8OnuPedLBIiDKx/+kaPnksI4dscDgcVVhunK5yJ16lKq/L6dKWVUxXVzve1209XWjldWY3N3qBLh5tgfz9nMhagcyZjBq2SiLm2G12vaxO20AAd/loZLiEaX7Mbo3Xo0KFGO/n69etJT09n4MCB1NTU8H//93+MGDGC3bt3ExjovP16ypQprFy5kuXLlxMSEsLEiRO555572LhxIwA2m43U1FRiYmLYtGkTeXl5jBkzBq1Wy8svv6zEnJqayvjx4/n444/JyMjg0UcfJTY2lpSUFACWLVvG1KlTeeeddxg8eDBvvPEGKSkp7Nu3j6ioqEb7zo3BddehVLSEEFdKpVIRpPcjSO9HfPjFx5S52O3O8WKnKmsTMiUBcy6NZKqqpqTS+Sitcj5KKq1UWJ3DHlxjzY5S/+oZOO8KdSZdZ5KyYH8tRn8/jAFagv39MPprL/haJytpCC9ocEXLk4qKioiKimL9+vVcf/31lJaW0qZNGz755BPuvfdeAPbu3cvVV19NVlYWQ4YM4euvv+aOO+7gxIkTSpXrnXfeYfr06RQVFaHT6Zg+fTorV65k586dyrnuv/9+SkpKWL16NQCDBw9m4MCBvPXWWwDY7Xbi4+OZNGkSzzzzzCVjb8qKVsaeAh5Z8hO940L4cuJQj55LCCEaS7XNXpt0uRIwq/L63KSspPZ1aWU1JVVXVkFz8deqz0nM6k7SjLWvg2v3uV4bdBqpqPmgZlHRmjp1ar0P+Prrr192MKWlpQCEh4cDkJ2dTXV1tdtEqN26daN9+/ZKopWVlUXPnj3duubrKbYAACAASURBVBJTUlKYMGECu3btom/fvmRlZZ03mWpKSgqTJ08GwGq1kp2dzYwZM5T9arWa4cOHk5WVVWesFosFi8WivDeZTJf9vRvKVdGSgahCiJZEq1HXTk+hb9DnXN2bJZXOxMxU5Uy+SiqrKTNXU2auwWR2bj/zuoYyczUmcw3llhrAOb7VXO28k/NyqFQQpPMjyN9ZAXQ9B/v7EVi7PVjZrq191jhf17YL0vsRqPeT6lorUq9E6+eff3Z7v3XrVmpqapSxVL/88gsajYb+/ftfdiB2u53Jkydz7bXX0qNHDwDy8/PR6XSEhrovLBsdHU1+fr7S5uwky7Xfte9ibUwmE1VVVZw+fRqbzVZnm71799YZ7+zZs3n++ecv89teGXO1LL8jhGg9zu7ejAtr+OdtdgflrgTsnCTs7OSsrHafqY7krcbuwOGAMksNZbWJ25XQ+anPSsrOStj0Z5K4YP2ZxCxQ76youZ6D9H4YdH4E6jUEaKXS1pzVK9Fat26d8vr1118nODiYJUuWEBbm/Is/ffo0Y8eO5brrrrvsQNLT09m5cyfff//9ZR+jKc2YMcOt0mcymYiPj2+Sc5urpaIlhBD1pVGfuWvzcjgcDiw1dspqq2Pl5hrKLNWUm2uosLreO5/Lz362nN3e+VxV+z/K1ho7J2ucY9qulEoFBq0Gg96PQJ0Gg86ZoBn0GgJ17glaoKuN3lmFO7dNYO37AK1GloZqJA0eDD937lz+97//KUkWQFhYGH/9618ZMWIETz75ZIODmDhxIitWrGDDhg3ExcUp22NiYrBarZSUlLhVtQoKCoiJiVHabN682e14BQUFyj7Xs2vb2W2MRiMBAQFoNBo0Gk2dbVzHOJder0evb1j5u7GcmUdLKlpCCOFpKpUKf60Gf62GNsFX9u9+jc1OhdV2VkLmrJhVWGzK67OTtTJLDZWWGiqsNiosNVSe/WytweEAhwPnfquNokb6zgCG2qQtUF/7XJugGbQaDDoNAbraZ62GgNpkzX2b83Pu7zX4+7WuJK7BiZbJZKKo6PxfZVFREWVlZQ06lsPhYNKkSXzxxRdkZmaeN3VE//790Wq1ZGRkMHLkSAD27dtHbm6uModXcnIyL730EoWFhcrdgWvXrsVoNJKUlKS0WbVqldux165dqxxDp9PRv39/MjIyuOuuuwBnV2ZGRsZ5Sw01B8o8WjJhqRBCtCh+GjUhAc67J6+Uw+HAXG2n3FJDpdWZrFVanUlZZW01zZWQVVrOPJdbzyRvlXXsc90iV2m1UWm1UVx+xaGeJ6A2WfOvfT6TpPm5JWUBOg0GrR8BOjUBOj86tQnkmk6RjR+QBzU40br77rsZO3Ysc+fOVeaY+vHHH3n66ae55557GnSs9PR0PvnkE7788kuC/397dx8WVZn/D/w9PMyA4gw+MqKID+UDimmy4pS6Xpf8BCPLctck1tDI0sVNxNT8Zsa6Fa5uW9b6sNW1tv22NPx903XB6CJEKUVMEhUVskQpY7BVYUDlce7fHzQHR1AGZZhzy/t1XXPlzPnMOfe5J7s/fc597tOlizKnymAwwNvbGwaDAbGxsUhISEC3bt2g1+vxhz/8ASaTCePGjQPQ8OifoKAgzJ49G2vXroXZbMbKlSsRFxenVJzmz5+Pv/3tb1i2bBmefvpp7NmzB8nJyUhNTVXakpCQgJiYGISEhGDs2LF46623cOXKFcydO7e1XeR0toqWjpMpiYg6LI1GA+9fkhGgba6w2JI3u+Sspg6V1fVKcnatpk5Jwqpq65U/X6tt+PxaTT2u/fL5tV+SuWu19UqRAACu1dYrl1Fb4+GRve/+RGvz5s144YUX8OSTT6K2trZhJx4eiI2Nxbp161q1r02bNgEAJk2aZPf5li1blMVE33zzTbi5uWHGjBl2C5bauLu7IyUlBQsWLIDJZELnzp0RExOD1atXKzEDBgxAamoqFi9ejPXr16Nv3754//33lTW0AOCJJ57Azz//jFWrVsFsNmPUqFFIS0trMkFeDVjRIiIiZ7BL3lp+CEGrWK3CLgFr+HPdL8lYPa7W1qPKVmWrrVc+v1bbmLCNCvBt+UAqc9vraF25cgXff/89AGDQoEHKAqMdVXuuo5W46wQ+OHAWv580CMsihjr1WERERHczVayj1ZzOnTtj5MiRbdkWcpCyMjwrWkRERKrGST4Sqq7lXYdEREQy4EgtIa4MT0REJAcmWhKqYkWLiIhIChypJVSlLO/AihYREZGaMdGSULWyvAN/PiIiIjXjSC0hpaLFuw6JiIhUjYmWhKqVh0rz5yMiIlIzjtQSqlIeKs2KFhERkZox0ZJQFStaREREUuBILaHGBUtZ0SIiIlIzJloSquIjeIiIiKTAREsyQgjU1PHSIRERkQw4UkvG9vgdgBUtIiIitWOiJRnb43cAVrSIiIjUjiO1ZGwVLXc3DTzd+fMRERGpGUdqySgPlGY1i4iISPU4WkvGVtHi43eIiIjUj4mWZFjRIiIikgdHa8koq8KzokVERKR6TLQkU/3Lcw55xyEREZH6cbSWjK2ixTW0iIiI1I+JlmRY0SIiIpIHR2vJsKJFREQkDyZakrHddciKFhERkfpxtJaMbR0tVrSIiIjUj4mWZJR1tDz50xEREakdR2vJKCvDe7CiRUREpHZMtCRTzYoWERGRNDhaS6ZxMjwrWkRERGrHREsyjZPh+dMRERGpHUdryTROhmdFi4iISO2YaEmmcTI8fzoiIiK142gtGWWOFitaREREqsdESzK2R/CwokVERKR+HK0lY3uoNOdoERERqR8TLcnwodJERETycGmilZWVhWnTpsHf3x8ajQY7d+602z5nzhxoNBq7V0REhF3MpUuXEB0dDb1eD19fX8TGxqKystIu5tixY5gwYQK8vLwQEBCAtWvXNmnL9u3bMXToUHh5eSE4OBi7d+9u+xNuA7aKFi8dEhERqZ9LR+srV67gvvvuw4YNG24aExERgZKSEuW1detWu+3R0dE4ceIE0tPTkZKSgqysLDz77LPKdovFgilTpiAwMBC5ublYt24dEhMT8e677yoxBw4cQFRUFGJjY3HkyBFMnz4d06dPR35+ftuf9B1iRYuIiEgeGiGEcHUjAECj0WDHjh2YPn268tmcOXNQVlbWpNJlc+rUKQQFBeHrr79GSEgIACAtLQ0PPfQQfvzxR/j7+2PTpk146aWXYDabodVqAQAvvvgidu7ciYKCAgDAE088gStXriAlJUXZ97hx4zBq1Chs3rzZofZbLBYYDAaUl5dDr9ffVh84IuTVdPy3sgafLZqAYb2ddxwiIqKOwNnjt+qvP+3duxe9evXCkCFDsGDBAly8eFHZlp2dDV9fXyXJAoCwsDC4ubkhJydHiZk4caKSZAFAeHg4CgsLcfnyZSUmLCzM7rjh4eHIzs6+abuqq6thsVjsXu2hmhUtIiIiaag60YqIiMCHH36IjIwM/PnPf8a+ffswdepU1Nc3zFMym83o1auX3Xc8PDzQrVs3mM1mJcbPz88uxva+pRjb9uYkJSXBYDAor4CAgDs7WQdV1fGh0kRERLLwcHUDbmXWrFnKn4ODgzFy5EgMGjQIe/fuxeTJk13YMmDFihVISEhQ3lssFqcnW/VWgdr6hiu9fKg0ERGR+klVFhk4cCB69OiB7777DgBgNBpx4cIFu5i6ujpcunQJRqNRiSktLbWLsb1vKca2vTk6nQ56vd7u5Wy2Ow4BVrSIiIhkINVo/eOPP+LixYvo3bs3AMBkMqGsrAy5ublKzJ49e2C1WhEaGqrEZGVloba2VolJT0/HkCFD0LVrVyUmIyPD7ljp6ekwmUzOPqVWsd1xCLCiRUREJAOXJlqVlZXIy8tDXl4eAKCoqAh5eXkoLi5GZWUlli5dioMHD+Ls2bPIyMjAo48+invuuQfh4eEAgGHDhiEiIgLz5s3DoUOHsH//fixcuBCzZs2Cv78/AODJJ5+EVqtFbGwsTpw4gU8++QTr16+3u+y3aNEipKWl4Y033kBBQQESExNx+PBhLFy4sP075RZsFS1Pdw3c3TQubg0RERG1SLhQZmamANDkFRMTI65evSqmTJkievbsKTw9PUVgYKCYN2+eMJvNdvu4ePGiiIqKEj4+PkKv14u5c+eKiooKu5ijR4+K8ePHC51OJ/r06SPWrFnTpC3Jycli8ODBQqvViuHDh4vU1NRWnUt5ebkAIMrLy1vfEQ4683OlCFyeIkasSnPaMYiIiDoSZ4/fqllHS3btsY5WgdmCiLe+RA8fLQ6v/D9OOQYREVFH0uHX0aJGtjlanJ9FREQkByZaEqmq/eU5h7zjkIiISAocsSVSXffLqvCsaBEREUmBiZZEbBUtrqFFREQkB47YErFVtDhHi4iISA5MtCTCihYREZFcOGJLpNo2GZ4VLSIiIikw0ZKIMhmeFS0iIiIpcMSWSOOlQ1a0iIiIZMBESyKNk+H5sxEREcmAI7ZEWNEiIiKSCxMtiTQ+goc/GxERkQw4Ykukus72CB5WtIiIiGTAREsitooWLx0SERHJgYmWRJSKFi8dEhERSYEjtkRY0SIiIpILEy2JVNWyokVERCQTjtgSaVwZnhUtIiIiGTDRkggfKk1ERCQXjtgSqVFWhmdFi4iISAZMtCTCihYREZFcOGJLpIoVLSIiIqkw0ZJINStaREREUuGILRFWtIiIiOTCREsSdfVW1FsFAFa0iIiIZMERWxK2ahbAdbSIiIhkwURLErb5WQCgdefPRkREJAOO2JKwVbS0Hm5wc9O4uDVERETkCCZakuBzDomIiOTDUVsS1bV8ziEREZFsmGhJoqqOa2gRERHJhqO2JGwVLa6hRUREJA8mWpJgRYuIiEg+HLUlUa1MhmdFi4iISBZMtCRRXWebDM+fjIiISBYctSVhW97BixUtIiIiabg00crKysK0adPg7+8PjUaDnTt32m0XQmDVqlXo3bs3vL29ERYWhtOnT9vFXLp0CdHR0dDr9fD19UVsbCwqKyvtYo4dO4YJEybAy8sLAQEBWLt2bZO2bN++HUOHDoWXlxeCg4Oxe/futj/hO2CraOlY0SIiIpKGS0ftK1eu4L777sOGDRua3b527Vq8/fbb2Lx5M3JyctC5c2eEh4ejqqpKiYmOjsaJEyeQnp6OlJQUZGVl4dlnn1W2WywWTJkyBYGBgcjNzcW6deuQmJiId999V4k5cOAAoqKiEBsbiyNHjmD69OmYPn068vPznXfyrcSKFhERkYSESgAQO3bsUN5brVZhNBrFunXrlM/KysqETqcTW7duFUIIcfLkSQFAfP3110rMZ599JjQajTh//rwQQoiNGzeKrl27iurqaiVm+fLlYsiQIcr7mTNnisjISLv2hIaGiueee87h9peXlwsAory83OHvtMb6L74VgctTxIv/e9Qp+yciIuqInD1+q/Y6VFFREcxmM8LCwpTPDAYDQkNDkZ2dDQDIzs6Gr68vQkJClJiwsDC4ubkhJydHiZk4cSK0Wq0SEx4ejsLCQly+fFmJuf44thjbcZpTXV0Ni8Vi93Km6jredUhERCQb1SZaZrMZAODn52f3uZ+fn7LNbDajV69edts9PDzQrVs3u5jm9nH9MW4WY9venKSkJBgMBuUVEBDQ2lNslSo+goeIiEg6qk201G7FihUoLy9XXj/88INTj9dY0eJPRkREJAvVjtpGoxEAUFpaavd5aWmpss1oNOLChQt22+vq6nDp0iW7mOb2cf0xbhZj294cnU4HvV5v93ImVrSIiIjko9pEa8CAATAajcjIyFA+s1gsyMnJgclkAgCYTCaUlZUhNzdXidmzZw+sVitCQ0OVmKysLNTW1iox6enpGDJkCLp27arEXH8cW4ztOGpQVcuKFhERkWxcOmpXVlYiLy8PeXl5ABomwOfl5aG4uBgajQbx8fF49dVXsWvXLhw/fhxPPfUU/P39MX36dADAsGHDEBERgXnz5uHQoUPYv38/Fi5ciFmzZsHf3x8A8OSTT0Kr1SI2NhYnTpzAJ598gvXr1yMhIUFpx6JFi5CWloY33ngDBQUFSExMxOHDh7Fw4cL275SbaFwZnhUtIiIiaTjlXkYHZWZmCgBNXjExMUKIhiUeXn75ZeHn5yd0Op2YPHmyKCwstNvHxYsXRVRUlPDx8RF6vV7MnTtXVFRU2MUcPXpUjB8/Xuh0OtGnTx+xZs2aJm1JTk4WgwcPFlqtVgwfPlykpqa26lycfXvo794/KAKXp4j/zf3BKfsnIiLqiJw9fmuEEMKFed5dw2KxwGAwoLy83CnztWb+PRuHii5hw5P3I3Jk7zbfPxERUUfk7PGbE34kUW1bGZ6P4CEiIpIGR21J2O465IKlRERE8mCiJQnbOlqsaBEREcmDo7YkuI4WERGRfJhoSYIrwxMREcmHo7YkWNEiIiKSDxMtCQghUMWKFhERkXQ4akugtl7AttqZjhUtIiIiaTDRkoCtmgXwrkMiIiKZcNSWQPUv87M0GkDrzp+MiIhIFhy1JVBV2zg/S6PRuLg1RERE5CgmWhJoXNqB87OIiIhkwkRLAo1LO/DnIiIikglHbgk0Pn6HFS0iIiKZMNGSQLXyQGn+XERERDLhyC2BKla0iIiIpOTh6gZQy6ocqWhdKAI2jrL/bOYuIOjXTmwZERER3QoTLQm0OEcrsSsAa9PPkx/5ZXu5cxpGREREt8RLhxJorGg1k2jdLMmyizG0faOIiIioRUy0JFBtW7D0xuUdLhShxSTLJm01UPQlYK1vOZaIiIjaBBMtCVTV/bKO1o0Vrb+Pc3wnB98A/vkw8NYI4OSuNmwdERER3QwTLQlU3ayiVV/V+p1ZfgKSZwNpK1jhIiIicjJOhpdAdXMVrTtNkA5ubHjp/YEpSUDn7kBlKeDjBwQ+ALhxKQkiIqI7xURLAraKlt0jeM4daJudW34C/l+M/WddegNj5gLdBzHxIiIiugNMtCRgq2jZ3XVYuNt5B6woAfa+3vi+uapXQCjwQ459FQxoSABZGSMiIgLAREsKTSpa1nrgm//bfg1oruqlcQPEdXc8encFoAGuXWr87MbKGJMzIiLqYJhoSaDJsw6z/gLUVLiwRbBPsgDg2uWmMTdWxm4nOWsuGXMkYbsx5na+w6SPiIjuEBMtCditDG+tB3I2tuLbGgDCKe1qtdtJzppLxhxJ2G6MuZ3v3O4l0/ZMBHnsto1hck1EbYyJlgRsK8N7ebo3DArXyhz74qT/Ab75oOHSn6yaS8YcSdhujLmd79zuJdP2SgR57LaPuZ3L3XdjEqq2BFhN7WPfqOPYEv1PERMtCdgqWjoPN8cnwXt3Aya+0PA6d6Dhewc3QlUVLhndTsLmrESQx277mNu53H03JqFqS4DV1D72jTqOrfcHIv4MBD0CtWOiJQGlouUO4Ngnjn0pdH5jtj9gQsOrnwlIWy53hYuoPXXUJFRtCbCa2se+UcexLSVA8lPAzA9Vn2wx0ZKA7a7DQQWbgasXW/6CtktDJetGQY8AQyPty69XLwKfr2DyRUREEhEANEDaiw3jmoovIzLRkkB1nRXhbocQcOwtx75w/+yb/0vn5t5Q3bresGmNydfF7+Wf10VERB2AACznG8avG8c1FWGiJYGamhq84vmh418Y8lDrDnBj8mWb13WrqleTa+jdGv55/TV0IiIiZ6ssdXULbomJlgSG152Ev8bBBEbfp/EOjdvVUtXLkbtCmquMMTkjIqK25uPn6hbcEhMtCYy3HgLcWo4DAESscc616uaSr+ZKtbeqjN1OctZcMuZIwtbi3TAOfIeIiFRM03D34Z0WF5xM1YlWYmIi/vjHP9p9NmTIEBQUFAAAqqqqsGTJEmzbtg3V1dUIDw/Hxo0b4efXmN0WFxdjwYIFyMzMhI+PD2JiYpCUlAQPj8ZT37t3LxISEnDixAkEBARg5cqVmDNnTrucY0tEfR2mab50LHjS/6jr7ou2SM5cub7L7V4yba9EkMdu+xgikoSm4R/OKi60IVUnWgAwfPhwfPHFF8r76xOkxYsXIzU1Fdu3b4fBYMDChQvx+OOPY//+/QCA+vp6REZGwmg04sCBAygpKcFTTz0FT09PvP56w1o5RUVFiIyMxPz58/HRRx8hIyMDzzzzDHr37o3w8PD2Pdlm1BbtRw+NA4/b8e7e/J2GsmkuOQNan7C11Xdae8lUhoX+eOy2vdx9NyahakuA1dQ+9o06jq33b0iy1FRcuAmNEEK1q1cmJiZi586dyMvLa7KtvLwcPXv2xMcff4zf/OY3AICCggIMGzYM2dnZGDduHD777DM8/PDD+Omnn5Qq1+bNm7F8+XL8/PPP0Gq1WL58OVJTU5Gfn6/se9asWSgrK0NaWprDbbVYLDAYDCgvL4der7/DM29UlbIcXoc3txw47vdARFKbHZeoQ7LWc4VvVx9b7e1j36jj2G24Mryzxm8b1Sda69atg8FggJeXF0wmE5KSktCvXz/s2bMHkydPxuXLl+Hr66t8JzAwEPHx8Vi8eDFWrVqFXbt22SVqRUVFGDhwIL755huMHj0aEydOxP3334+33mpcOmHLli2Ij49HeXn5TdtWXV2N6upq5b3FYkFAQEDb/lDWetSvvQfuVQ5c2ohJUfXtrURERGrk7ETL0SnWLhEaGooPPvgAaWlp2LRpE4qKijBhwgRUVFTAbDZDq9XaJVkA4OfnB7PZDAAwm81287Vs223bbhVjsVhw7dq1m7YtKSkJBoNBeQUEBNzx+TZx7oBjSVanHqqfDEhERNQRqXqO1tSpU5U/jxw5EqGhoQgMDERycjK8vb1d2DJgxYoVSEhIUN7bKlptytHnGo6cqfrJgERERB2RqitaN/L19cXgwYPx3XffwWg0oqamBmVlZXYxpaWlMBqNAACj0YjS0tIm223bbhWj1+tvmczpdDro9Xq7V5uy1jv+XMPWLlBKRERE7UKqRKuyshLff/89evfujTFjxsDT0xMZGRnK9sLCQhQXF8NkMgEATCYTjh8/jgsXLigx6enp0Ov1CAoKUmKu34ctxrYPlzl3wLHnGvKyIRERkWqpOtF64YUXsG/fPpw9exYHDhzAY489Bnd3d0RFRcFgMCA2NhYJCQnIzMxEbm4u5s6dC5PJhHHjxgEApkyZgqCgIMyePRtHjx7F559/jpUrVyIuLg46nQ4AMH/+fJw5cwbLli1DQUEBNm7ciOTkZCxevNiVp87LhkRERHcBVc/R+vHHHxEVFYWLFy+iZ8+eGD9+PA4ePIiePXsCAN588024ublhxowZdguW2ri7uyMlJQULFiyAyWRC586dERMTg9WrVysxAwYMQGpqKhYvXoz169ejb9++eP/99127hhYvGxIREd0VVL28g0za9PbQoi+Bfz7cclynHsAL37KiRUREdJs69PIOHZajTyLnZUMiIiJVY6KlRo4+iZyXDYmIiFSNiZYaBT7Q8Bwn20Mzm6Pvw7sNiYiIVI6Jlhq5uQMRf/7lzY3JlqbhJcETy4mIiDo6JlpqFfQIMPNDQN/b/nO9f8PnEjyxnIiIqKNT9fIOHV7QI8DQSKc9sZyIiIici4mW2rm5AwMmuLoVREREdBt46ZCIiIjISZhoERERETkJEy0iIiIiJ2GiRUREROQkTLSIiIiInISJFhEREZGTMNEiIiIichImWkREREROwkSLiIiIyEm4MnwbEUIAACwWi4tbQkRERI6yjdu2cbytMdFqIxUVFQCAgIAAF7eEiIiIWquiogIGg6HN96sRzkrhOhir1YqffvoJXbp0gUajadN9WywWBAQE4IcffoBer2/Tfd+t2Getw/5qPfZZ67HPWo991nqt7TMhBCoqKuDv7w83t7afUcWKVhtxc3ND3759nXoMvV7Pv2itxD5rHfZX67HPWo991nrss9ZrTZ85o5Jlw8nwRERERE7CRIuIiIjISdwTExMTXd0Iapm7uzsmTZoEDw9e7XUU+6x12F+txz5rPfZZ67HPWk9NfcbJ8EREREROwkuHRERERE7CRIuIiIjISZhoERERETkJEy0iIiIiJ2GipXIbNmxA//794eXlhdDQUBw6dMjVTXKKpKQk/OpXv0KXLl3Qq1cvTJ8+HYWFhXYxVVVViIuLQ/fu3eHj44MZM2agtLTULqa4uBiRkZHo1KkTevXqhaVLl6Kurs4uZu/evbj//vuh0+lwzz334IMPPmjSHtn6fc2aNdBoNIiPj1c+Y381df78efzud79D9+7d4e3tjeDgYBw+fFjZLoTAqlWr0Lt3b3h7eyMsLAynT5+228elS5cQHR0NvV4PX19fxMbGorKy0i7m2LFjmDBhAry8vBAQEIC1a9c2acv27dsxdOhQeHl5ITg4GLt373bOSd+B+vp6vPzyyxgwYAC8vb0xaNAg/OlPf7J7JlxH77OsrCxMmzYN/v7+0Gg02Llzp912NfWPI21pD7fqs9raWixfvhzBwcHo3Lkz/P398dRTT+Gnn36y24dUfSZItbZt2ya0Wq34xz/+IU6cOCHmzZsnfH19RWlpqaub1ubCw8PFli1bRH5+vsjLyxMPPfSQ6Nevn6isrFRi5s+fLwICAkRGRoY4fPiwGDdunHjggQeU7XV1dWLEiBEiLCxMHDlyROzevVv06NFDrFixQok5c+aM6NSpk0hISBAnT54U77zzjnB3dxdpaWlKjGz9fujQIdG/f38xcuRIsWjRIuVz9pe9S5cuicDAQDFnzhyRk5Mjzpw5Iz7//HPx3XffKTFr1qwRBoNB7Ny5Uxw9elQ88sgjYsCAAeLatWtKTEREhLjvvvvEwYMHxZdffinuueceERUVpWwvLy8Xfn5+Ijo6WuTn54utW7cKb29v8fe//12J2b9/v3B3dxdr164VJ0+eFCtXrhSenp7i+PHj7dMZDnrttddE9+7dRUpKiigqKhLbt28XPj4+hys0AgAACnNJREFUYv369UpMR++z3bt3i5deekl8+umnAoDYsWOH3XY19Y8jbWkPt+qzsrIyERYWJj755BNRUFAgsrOzxdixY8WYMWPs9iFTnzHRUrGxY8eKuLg45X19fb3w9/cXSUlJLmxV+7hw4YIAIPbt2yeEaPjL5+npKbZv367EnDp1SgAQ2dnZQoiGv7xubm7CbDYrMZs2bRJ6vV5UV1cLIYRYtmyZGD58uN2xnnjiCREeHq68l6nfKyoqxL333ivS09PFr3/9ayXRYn81tXz5cjF+/PibbrdarcJoNIp169Ypn5WVlQmdTie2bt0qhBDi5MmTAoD4+uuvlZjPPvtMaDQacf78eSGEEBs3bhRdu3ZV+tB27CFDhijvZ86cKSIjI+2OHxoaKp577rk7O8k2FhkZKZ5++mm7zx5//HERHR0thGCf3ejGpEFN/eNIW1yhueT0RocOHRIAxLlz54QQ8vUZLx2qVE1NDXJzcxEWFqZ85ubmhrCwMGRnZ7uwZe2jvLwcANCtWzcAQG5uLmpra+36Y+jQoejXr5/SH9nZ2QgODoafn58SEx4eDovFghMnTigx1+/DFmPbh2z9HhcXh8jIyCbnxP5qateuXQgJCcFvf/tb9OrVC6NHj8Z7772nbC8qKoLZbLY7F4PBgNDQULs+8/X1RUhIiBITFhYGNzc35OTkKDETJ06EVqtVYsLDw1FYWIjLly8rMbfqV7V44IEHkJGRgW+//RYAcPToUXz11VeYOnUqAPZZS9TUP460Ra3Ky8uh0Wjg6+sLQL4+Y6KlUv/9739RX19vNwgCgJ+fH8xms4ta1T6sVivi4+Px4IMPYsSIEQAAs9kMrVar/EWzub4/zGZzs/1l23arGIvFgmvXrknV79u2bcM333yDpKSkJtvYX02dOXMGmzZtwr333ovPP/8cCxYswPPPP49//vOfABrP+VbnYjab0atXL7vtHh4e6NatW5v0q9r67MUXX8SsWbMwdOhQeHp6YvTo0YiPj0d0dDQA9llL1NQ/jrRFjaqqqrB8+XJERUUpD4iWrc9cvzY90Q3i4uKQn5+Pr776ytVNUa0ffvgBixYtQnp6Ory8vFzdHClYrVaEhITg9ddfBwCMHj0a+fn52Lx5M2JiYlzcOnVKTk7GRx99hI8//hjDhw9HXl4e4uPj4e/vzz4jp6utrcXMmTMhhMCmTZtc3ZzbxoqWSvXo0QPu7u5N7hIrLS2F0Wh0Uaucb+HChUhJSUFmZib69u2rfG40GlFTU4OysjK7+Ov7w2g0Nttftm23itHr9fD29pam33Nzc3HhwgXcf//98PDwgIeHB/bt24e3334bHh4e8PPzY3/doHfv3ggKCrL7bNiwYSguLgbQeM63Ohej0YgLFy7Yba+rq8OlS5fapF/V1mdLly5VqlrBwcGYPXs2Fi9erFRR2We3pqb+caQtamJLss6dO4f09HSlmgXI12dMtFRKq9VizJgxyMjIUD6zWq3IyMiAyWRyYcucQwiBhQsXYseOHdizZw8GDBhgt33MmDHw9PS064/CwkIUFxcr/WEymXD8+HG7v4C2v6C2AdZkMtntwxZj24cs/T558mQcP34ceXl5yiskJATR0dHKn9lf9h588MEmS4Z8++23CAwMBAAMGDAARqPR7lwsFgtycnLs+qysrAy5ublKzJ49e2C1WhEaGqrEZGVloba2VolJT0/HkCFD0LVrVyXmVv2qFlevXoWbm/0w4e7uDqvVCoB91hI19Y8jbVELW5J1+vRpfPHFF+jevbvddun6zOFp89Tutm3bJnQ6nfjggw/EyZMnxbPPPit8fX3t7hK7WyxYsEAYDAaxd+9eUVJSoryuXr2qxMyfP1/069dP7NmzRxw+fFiYTCZhMpmU7bblCqZMmSLy8vJEWlqa6NmzZ7PLFSxdulScOnVKbNiwodnlCmTs9+vvOhSC/XWjQ4cOCQ8PD/Haa6+J06dPi48++kh06tRJ/Otf/1Ji1qxZI3x9fcW///1vcezYMfHoo482eyv+6NGjRU5Ojvjqq6/Evffea3dbeVlZmfDz8xOzZ88W+fn5Ytu2baJTp05Nbiv38PAQf/nLX8SpU6fEK6+8ooqlCm4UExMj+vTpoyzv8Omnn4oePXqIZcuWKTEdvc8qKirEkSNHxJEjRwQA8de//lUcOXJEuUNOTf3jSFvaw636rKamRjzyyCOib9++Ii8vz248uP4OQpn6jImWyr3zzjuiX79+QqvVirFjx4qDBw+6uklOAaDZ15YtW5SYa9euid///veia9euolOnTuKxxx4TJSUldvs5e/asmDp1qvD29hY9evQQS5YsEbW1tXYxmZmZYtSoUUKr1YqBAwfaHcNGxn6/MdFifzX1n//8R4wYMULodDoxdOhQ8e6779ptt1qt4uWXXxZ+fn5Cp9OJyZMni8LCQruYixcviqioKOHj4yP0er2YO3euqKiosIs5evSoGD9+vNDpdKJPnz5izZo1TdqSnJwsBg8eLLRarRg+fLhITU1t+xO+QxaLRSxatEj069dPeHl5iYEDB4qXXnrJbsDr6H2WmZnZ7H+7YmJihBDq6h9H2tIebtVnRUVFNx0PMjMzlX3I1GcaIa5b4peIiIiI2gznaBERERE5CRMtIiIiIidhokVERETkJEy0iIiIiJyEiRYRERGRkzDRIiIiInISJlpERERETsJEi4iIiMhJmGgREd1E//79odFooNFomjyguzlnz55V4keNGtUOLSQitWOiRUQdzqRJkxAfH+9Q7OrVq1FSUgKDwdBibEBAAEpKSrBkyZI7bSIR3SU8XN0AIiI169KlC4xGo0Ox7u7uMBqN8PHxcXKriEgWrGgRUYcyZ84c7Nu3D+vXr1cu8509e9bh7587dw7Tpk1D165d0blzZwwfPhy7d+92XoOJSGqsaBFRh7J+/Xp8++23GDFiBFavXg0A6Nmzp8Pfj4uLQ01NDbKystC5c2ecPHmSFSwiuikmWkTUoRgMBmi1WnTq1MnhS4LXKy4uxowZMxAcHAwAGDhwYFs3kYjuIrx0SETUCs8//zxeffVVPPjgg3jllVdw7NgxVzeJiFSMiRYRUSs888wzOHPmDGbPno3jx48jJCQE77zzjqubRUQqxUSLiDocrVaL+vr62/5+QEAA5s+fj08//RRLlizBe++914atI6K7CedoEVGH079/f+Tk5ODs2bPw8fFBt27d4Obm2P93xsfHY+rUqRg8eDAuX76MzMxMDBs2zMktJiJZsaJFRB3OCy+8AHd3dwQFBaFnz54oLi52+Lv19fWIi4vDsGHDEBERgcGDB2Pjxo1ObC0RyYwVLSLqcAYPHozs7Ozb+i7nYxFRa2iEEMLVjSAiUqP+/fujpKQEnp6eOH/+fIuP4SkuLkZQUBBqamoQFBSEvLy8dmopEakVEy0iops4d+4camtrATSsl9XSPK66ujpllXmdToeAgABnN5GIVI6JFhEREZGTcDI8ERERkZMw0SIiIiJyEiZaRERERE7CRIuIiIjISZhoERERETkJEy0iIiIiJ2GiRUREROQkTLSIiIiInOT/A3qs68meobe2AAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "3.261827622077276"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "rel_perm_param [krw0, kro0, nw, no, swc, sor]\n",
    "core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood\n",
    "\"\"\"\n",
    "function error_calc(rel_perm_param, exp_data, core_props, fluids_ls, fluids_hs, \n",
    "        rel_perms_hs, core_flood; w_p=1.0, w_R=1.0)\n",
    "    rel_perms_ls = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    error_dp = abs.(dp_calc(exp_data.t_exp_dp) .- exp_data.dp_exp)\n",
    "#     println(error_dp)\n",
    "    error_R = abs.(R_calc(exp_data.t_exp_R) .- exp_data.R_exp)\n",
    "#     println(error_R)\n",
    "    error_dp_norm = w_p.*error_dp./exp_data.dp_exp\n",
    "    error_R_norm = w_R.*error_R #./(exp_data.R_exp+eps()) # to avoid division by a small number\n",
    "    return mean(error_R_norm)+mean(error_dp_norm)\n",
    "end\n",
    "\n",
    "function vis_error(rel_perm_param, exp_data, core_props, fluids_ls, fluids_hs, \n",
    "        rel_perms_hs, core_flood)\n",
    "    rel_perms_ls = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "    figure()\n",
    "    plot(wf_res.dp_time[:,1], wf_res.dp_time[:,2],  exp_data.t_exp_dp, exp_data.dp_exp, \"o\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"dp [Pa]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "    figure()\n",
    "    plot(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], exp_data.t_exp_R, exp_data.R_exp, \"v\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"R [-]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.109681, 0.201297, 3.96653, 3.0, 0.19, 0.1]\n",
    "\n",
    "vis_error(x_init, exp_data1, core_props, fluids_ls, fluids_hs, rel_perms_hs, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids_ls, fluids_hs, rel_perms_hs, core_flood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function and gradients and weight factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mCross point is estimated: 0.7494494494494494, error is 0.00020259657634746908\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.7874113732597706"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m"
     ]
    }
   ],
   "source": [
    "# weight factors:\n",
    "w_p = ones(length(exp_data1.dp_exp))\n",
    "ind_max = indmax(exp_data1.dp_exp)\n",
    "w_p[ind_max-1:ind_max+2] = 10\n",
    "w_p[end:end-5]=10\n",
    "w_p[1]=10\n",
    "w_R = ones(length(exp_data1.R_exp))\n",
    "w_R[20:25] = 10\n",
    "w_R[end:end-5]=10\n",
    "\n",
    "\n",
    "function f(x)\n",
    "    f_val = 0.0\n",
    "    try\n",
    "        f_val = error_calc(x, exp_data1, core_props, fluids_ls, fluids_hs, \n",
    "            rel_perms_hs, core_flood, w_p = w_p, w_R = w_R)\n",
    "    catch\n",
    "        f_val = 100.0\n",
    "#         info(\"Objective function did not converge!\")\n",
    "    end\n",
    "    return f_val\n",
    "end\n",
    "\n",
    "    \n",
    "function g(x)\n",
    "    eps1 = 1e-4\n",
    "    f_val = f(x)\n",
    "    g_val = ones(length(x))\n",
    "    try\n",
    "        # g_val = Calculus.gradient(x -> error_calc(x, exp_data1, core_props, fluids, core_flood), x)\n",
    "        for j in eachindex(x)\n",
    "            x2 = copy(x)\n",
    "            x2[j]+=eps1\n",
    "            f_val2 = f(x2)\n",
    "            g_val[j] = (f_val2-f_val)/eps1\n",
    "        end\n",
    "    catch\n",
    "        g_val = ones(length(x))\n",
    "    end\n",
    "    return g_val\n",
    "end\n",
    "\n",
    "function obj_fun(param, grad)\n",
    "    if length(grad)>0\n",
    "      grad[:] = g(param)\n",
    "    end\n",
    "    \n",
    "    obj_fun_val = f(param)\n",
    "    if isnan(obj_fun_val) || isinf(obj_fun_val)\n",
    "        obj_fun_val = 100.0\n",
    "    end\n",
    "    return obj_fun_val\n",
    "end\n",
    "\n",
    "# test\n",
    "grad_x = zeros(6)\n",
    "obj_fun([1.0, 0.8, 3, 4, 0.1, 0.1], grad_x)\n",
    "\n",
    "f([1.0, 0.8, 2, 2, 0.1, 0.1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6-element Array{Float64,1}:\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## algorithms\n",
    "# L: Local, G:global\n",
    "# D: derivative-based, N: non-derivative (search-based)\n",
    "\n",
    "# :LD_MMA\n",
    "# :LN_COBYLA\n",
    "# :LD_LBFGS\n",
    "# :GN_DIRECT\n",
    "# :GN_DIRECT_L\n",
    "# GN_CRS2_LM\n",
    "# G_MLSL_LDS\n",
    "# GD_STOGO\n",
    "# GN_ISRES\n",
    "# GN_ESCH\n",
    "# LN_NEWUOA_BOUND\n",
    "# LN_BOBYQA\n",
    "# LN_PRAXIS\n",
    "# LN_NELDERMEAD\n",
    "# LN_SBPLX\n",
    "# LD_SLSQP\n",
    "# LD_TNEWTON_PRECOND_RESTART\n",
    "# LD_TNEWTON_RESTART\n",
    "# LD_TNEWTON_PRECOND\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mCross point is estimated: 0.6142642642642642, error is 0.021356920744849406\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mCross point is estimated: 0.6142642642642642, error is 0.021356920744849406\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(0.037519143204668995, [0.308955, 0.690188, 2.12074, 2.10107, 0.259621, 0.148149], :FTOL_REACHED)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Calling the single_ion_adsorption_water_flood_single_shock function ...\n",
      "\u001b[39m\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mCross point is estimated: 0.6915659493472859, error is 0.002118296376964701\n",
      "\u001b[39m"
     ]
    }
   ],
   "source": [
    "x_init = [0.5, 0.8, 2.5, 2.5, 0.15, 0.15]\n",
    "x_lb = [0.1, 0.1, 1.5, 1.5, 0.05, 0.1]\n",
    "x_ub = [1.0, 1.0, 4.0, 4.0, core_flood.initial_water_saturation, 0.25]\n",
    "opt_alg=:LN_COBYLA\n",
    "opt1 = Opt(opt_alg, length(x_init)) # choose the algorithm\n",
    "lower_bounds!(opt1, x_lb)\n",
    "upper_bounds!(opt1, x_ub)\n",
    "ftol_rel!(opt1, 1e-15)\n",
    "ftol_abs!(opt1, 1e-15)\n",
    "\n",
    "min_objective!(opt1, obj_fun)\n",
    "(fObjOpt, paramOpt, flag) = optimize(opt1, x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.027467894766478568"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = paramOpt\n",
    "vis_error(x_init, exp_data1, core_props, fluids_ls, fluids_hs, rel_perms_hs, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids_ls, fluids_hs, rel_perms_hs, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f15558edb50>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_perm_param=[1.0, 0.8, 3, 4, 0.2, 0.2]\n",
    "rel_perms2 = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "FF.visualize(rel_perms2, fluids)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.4",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
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